Publications
Publications (co)authored by S. Shelah
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Table of contents:
- Books (9 items)
- Published research papers (1150 items)
- Accepted research papers (5 items)
- Articles in preparation (85 items)
- Non-research articles (8 items)
- Non-peer-reviewed research articles (5 items)
- Corrections (18 items)
- Retracted publications (3 items)
- Unpublished notes (53 items)
- Texts in other authors' publications (4 items)
- Parts of books (56 items)
- Preliminary versions, reprints (5 items)
Books
The books by S. Shelah
- Sh:a
Shelah, S. (1978). Classification theory and the number of nonisomorphic models, Vol. 92, North-Holland Publishing Co., Amsterdam-New York, p. xvi+544. MR: 513226
See [Sh:c] - Sh:b
Shelah, S. (1982). Proper forcing, Vol. 940, Springer-Verlag, Berlin-New York, p. xxix+496. MR: 675955 - Sh:c
Shelah, S. (1990). Classification theory and the number of nonisomorphic models, 2nd edn, Vol. 92, North-Holland Publishing Co., Amsterdam, p. xxxiv+705. MR: 1083551
Revised edition of [Sh:a]
See [Sh:E113] - Sh:d
Shelah, S. (1986). Around classification theory of models, Vol. 1182, Springer-Verlag, Berlin, p. viii+279. DOI: 10.1007/BFb0098503 MR: 850051
Contains [Sh:171], [Sh:197], [Sh:212], [Sh:228], [Sh:229], [Sh:232], [Sh:233], [Sh:234], [Sh:237a], [Sh:237b], [Sh:237c], [Sh:237d], [Sh:237e], [Sh:247], [Sh:E8] - Sh:e
Shelah, S. Non-structure theory, Oxford University Press. To appear.
Contains [Sh:309], [Sh:331], [Sh:363], [Sh:384], [Sh:482], [Sh:511], [Sh:E58], [Sh:E59], [Sh:E60], [Sh:E61], [Sh:E62], [Sh:E63] - Sh:f
Shelah, S. (1998). Proper and improper forcing, 2nd edn, Springer-Verlag, Berlin, p. xlviii+1020. DOI: 10.1007/978-3-662-12831-2 MR: 1623206
See [Sh:253], [Sh:263] - Sh:g
Shelah, S. (1994). Cardinal arithmetic, Vol. 29, The Clarendon Press, Oxford University Press, New York, p. xxxii+481. MR: 1318912
Contains [Sh:282a], [Sh:333], [Sh:345a], [Sh:345b], [Sh:355], [Sh:365], [Sh:371], [Sh:380], [Sh:386], [Sh:400]. See [Sh:E12] - Sh:h
Shelah, S. (2009). Classification theory for abstract elementary classes, Vol. 18, College Publications, London, p. vi+813. MR: 2643267
Contains [Sh:88r], [Sh:300x], [Sh:600], [Sh:705], [Sh:734], [Sh:E53]. See [Sh:E54] - Sh:i
Shelah, S. (2009). Classification theory for abstract elementary classes. Vol. 2, Vol. 20, College Publications, London, p. iii+694. MR: 2649290
Contains [Sh:300a], [Sh:300b], [Sh:300c], [Sh:300d], [Sh:300e], [Sh:300f], [Sh:300g], [Sh:300z], [Sh:838], [Sh:E46]
Published research papers
Research articles (co)authored by S. Shelah published in peer reviewed journals.
- Sh:1
Shelah, S. (1969). Stable theories. Israel J. Math., 7, 187–202. DOI: 10.1007/BF02787611 MR: 0253889 - Sh:2
Shelah, S. (1969). Note on a min-max problem of Leo Moser. J. Combinatorial Theory, 6, 298–300. MR: 241312 - Sh:3
Shelah, S. Finite diagrams stable in power. Ann. Math. Logic, 2(1), 69–118. DOI: 10.1016/0003-4843(70)90007-0 MR: 0285374 - Sh:4
Shelah, S. (1970). On theories T categorical in |T|. J. Symbolic Logic, 35, 73–82. DOI: 10.2307/2271158 MR: 0282818 - Sh:5
Shelah, S. (1970). On languages with non-homogeneous strings of quantifiers. Israel J. Math., 8, 75–79. DOI: 10.1007/BF02771553 MR: 0262064 - Sh:6
Shelah, S. (1970). A note on Hanf numbers. Pacific J. Math., 34, 541–545. http://projecteuclid.org/euclid.pjm/1102976446 MR: 0268033 - Sh:7
Shelah, S. (1970). On the cardinality of ultraproduct of finite sets. J. Symbolic Logic, 35, 83–84. DOI: 10.2307/2271159 MR: 0325388 - Sh:8
Shelah, S. (1971). Two cardinal compactness. Israel J. Math., 9, 193–198. DOI: 10.1007/BF02771584 MR: 0302437 - Sh:9
Shelah, S. Remark to “local definability theory” of Reyes. Ann. Math. Logic, 2(4), 441–447. DOI: 10.1016/0003-4843(71)90004-0 MR: 0282822 - Sh:10
Shelah, S. (1971). Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory. Ann. Math. Logic, 3(3), 271–362. DOI: 10.1016/0003-4843(71)90015-5 MR: 0317926 - Sh:11
Shelah, S. (1971). On the number of non-almost isomorphic models of T in a power. Pacific J. Math., 36, 811–818. http://projecteuclid.org/euclid.pjm/1102970932 MR: 0285375 - Sh:12
Shelah, S. (1971). The number of non-isomorphic models of an unstable first-order theory. Israel J. Math., 9, 473–487. DOI: 10.1007/BF02771463 MR: 0278926 - Sh:13
Shelah, S. (1971). Every two elementarily equivalent models have isomorphic ultrapowers. Israel J. Math., 10, 224–233. DOI: 10.1007/BF02771574 MR: 0297554 - Sh:14
Shelah, S. (1972). Saturation of ultrapowers and Keisler’s order. Ann. Math. Logic, 4, 75–114. DOI: 10.1016/0003-4843(72)90012-5 MR: 0294113 - Sh:15
Shelah, S. (1972). Uniqueness and characterization of prime models over sets for totally transcendental first-order theories. J. Symbolic Logic, 37, 107–113. DOI: 10.2307/2272553 MR: 0316239 - Sh:16
Shelah, S. (1972). A combinatorial problem; stability and order for models and theories in infinitary languages. Pacific J. Math., 41, 247–261. http://projecteuclid.org/euclid.pjm/1102968432 MR: 0307903 - Sh:17
Shelah, S. (1972). For what filters is every reduced product saturated? Israel J. Math., 12, 23–31. DOI: 10.1007/BF02764810 MR: 0304157 - Sh:18
Shelah, S. (1972). On models with power-like orderings. J. Symbolic Logic, 37, 247–267. DOI: 10.2307/2272971 MR: 0446955 - Sh:19
Erdős, P., & Shelah, S. (1972). Separability properties of almost-disjoint families of sets. Israel J. Math., 12, 207–214. DOI: 10.1007/BF02764666 MR: 0319770 - Sh:20
Schmerl, J. H., & Shelah, S. (1972). On power-like models for hyperinaccessible cardinals. J. Symbolic Logic, 37, 531–537. DOI: 10.2307/2272739 MR: 0317925 - Sh:21
Erdős, P., & Shelah, S. (1972). On problems of Moser and Hanson. In Graph theory and applications (Proc. Conf., Western Michigan Univ., Kalamazoo, Mich., 1972; dedicated to the memory of J. W. T. Youngs), Vol. 303, Springer, Berlin, pp. 75–79. MR: 0337646 - Sh:22
Shelah, S. (1972). A note on model complete models and generic models. Proc. Amer. Math. Soc., 34, 509–514. DOI: 10.2307/2038398 MR: 294114 - Sh:23
Galvin, F., & Shelah, S. (1973). Some counterexamples in the partition calculus. J. Combinatorial Theory Ser. A, 15, 167–174. DOI: 10.1016/s0097-3165(73)80004-4 MR: 0329900 - Sh:24
Shelah, S. (1973). First order theory of permutation groups. Israel J. Math., 14, 149–162; errata, ibid.15 (1973), 437–441. DOI: 10.1007/BF02762670 MR: 0416909
See [Sh:25] - Sh:26
Shelah, S. (1973). Notes on combinatorial set theory. Israel J. Math., 14, 262–277. DOI: 10.1007/BF02764885 MR: 0327522 - Sh:27
Moran, G., & Shelah, S. (1973). Size direction games over the real line. III. Israel J. Math., 14, 442–449. DOI: 10.1007/BF02764720 MR: 0321551 - Sh:28
Shelah, S. (1973). There are just four second-order quantifiers. Israel J. Math., 15, 282–300. DOI: 10.1007/BF02787572 MR: 0335237 - Sh:29
Shelah, S. (1974). A substitute for Hall’s theorem for families with infinite sets. J. Combinatorial Theory Ser. A, 16, 199–208. DOI: 10.1016/0097-3165(74)90044-2 MR: 0332497 - Sh:30
McKenzie, R. N., & Shelah, S. (1974). The cardinals of simple models for universal theories. In Proceedings of the Tarski Symposium, Vol. XXV, Amer. Math. Soc., Providence, R.I., pp. 53–74. MR: 0360261 - Sh:31
Shelah, S. (1974). Categoricity of uncountable theories. In Proceedings of the Tarski Symposium, Vol. XXV, Amer. Math. Soc., Providence, R.I., pp. 187–203. MR: 0373874 - Sh:32
Erdős, P., Hajnal, A., & Shelah, S. (1974). On some general properties of chromatic numbers. In Topics in topology (Proc. Colloq., Keszthely, 1972), Vol. 8, North-Holland, Amsterdam, pp. 243–255. MR: 0357194 - Sh:33
Shelah, S. (1974). The Hanf number of omitting complete types. Pacific J. Math., 50, 163–168. http://projecteuclid.org/euclid.pjm/1102913702 MR: 0363877 - Sh:34
Shelah, S. (1973). Weak definability in infinitary languages. J. Symbolic Logic, 38, 399–404. DOI: 10.2307/2273033 MR: 0369027 - Sh:35
Milner, E. C., & Shelah, S. (1974). Sufficiency conditions for the existence of transversals. Canadian J. Math., 26, 948–961. DOI: 10.4153/CJM-1974-089-8 MR: 373907 - Sh:36
Shelah, S. (1977). Remarks on cardinal invariants in topology. General Topology and Appl., 7(3), 251–259. MR: 0482614 - Sh:37
Shelah, S. (1975). A two-cardinal theorem. Proc. Amer. Math. Soc., 48, 207–213. DOI: 10.2307/2040719 MR: 357105 - Sh:38
Shelah, S. (1975). Graphs with prescribed asymmetry and minimal number of edges. In Infinite and finite sets (Colloq., Keszthely, 1973; dedicated to P. Erdős on his 60th birthday), Vol. III, Vol. 10, North-Holland, Amsterdam, pp. 1241–1256. MR: 0371727 - Sh:39
Shelah, S. (1973). Differentially closed fields. Israel J. Math., 16, 314–328. DOI: 10.1007/BF02756711 MR: 0344116 - Sh:40
Shelah, S. (1975). Notes on partition calculus. In Infinite and finite sets (Colloq., Keszthely, 1973; dedicated to P. Erdős on his 60th birthday), Vol. III, Vol. 10, North-Holland, Amsterdam, pp. 1257–1276. MR: 0406798 - Sh:41
Milner, E. C., & Shelah, S. (1975). Some theorems on transversals. In Infinite and finite sets (Colloq., Keszthely, 1973; dedicated to P. Erdős on his 60th birthday), Vol III, Vol. 10, North Holland, Amsterdam, pp. 1115–1126. MR: 0376358 - Sh:42
Shelah, S. (1975). The monadic theory of order. Ann. Of Math. (2), 102(3), 379–419. arXiv: 2305.00968 DOI: 10.2307/1971037 MR: 0491120 - Sh:43
Shelah, S. (1975). Generalized quantifiers and compact logic. Trans. Amer. Math. Soc., 204, 342–364. DOI: 10.2307/1997362 MR: 376334 - Sh:44
Shelah, S. (1974). Infinite abelian groups, Whitehead problem and some constructions. Israel J. Math., 18, 243–256. DOI: 10.1007/BF02757281 MR: 0357114 - Sh:45
Shelah, S. (1975). Existence of rigid-like families of abelian p-groups. In Model theory and algebra (A memorial tribute to Abraham Robinson), Vol. 498, Springer, Berlin, pp. 384–402. MR: 0412299 - Sh:46
Shelah, S. (1975). Colouring without triangles and partition relation. Israel J. Math., 20, 1–12. DOI: 10.1007/BF02756751 MR: 0427073 - Sh:47
Makowsky, J. A., Shelah, S., & Stavi, J. (1976). \Delta-logics and generalized quantifiers. Ann. Math. Logic, 10(2), 155–192. DOI: 10.1016/0003-4843(76)90021-8 MR: 0457146 - Sh:48
Shelah, S. (1975). Categoricity in \aleph_1 of sentences in L_{\omega_1,\omega}(Q). Israel J. Math., 20(2), 127–148. DOI: 10.1007/BF02757882 MR: 0379177 - Sh:49
Shelah, S. (1976). A two-cardinal theorem and a combinatorial theorem. Proc. Amer. Math. Soc., 62(1), 134–136 (1977). DOI: 10.2307/2041962 MR: 434800 - Sh:50
Shelah, S. (1976). Decomposing uncountable squares to countably many chains. J. Combinatorial Theory Ser. A, 21(1), 110–114. DOI: 10.1016/0097-3165(76)90053-4 MR: 0409196 - Sh:51
Shelah, S. (1975). Why there are many nonisomorphic models for unsuperstable theories. In Proceedings of the International Congress of Mathematicians (Vancouver, B. C., 1974), Vol. 1, Canad. Math. Congress, Montreal, Que., pp. 259–263. MR: 0422015 - Sh:52
Shelah, S. (1975). A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals. Israel J. Math., 21(4), 319–349. DOI: 10.1007/BF02757993 MR: 0389579 - Sh:53
Litman, A., & Shelah, S. (1977). Models with few isomorphic expansions. Israel J. Math., 28(4), 331–338. DOI: 10.1007/BF02760639 MR: 0469741 - Sh:54
Shelah, S. (1975). The lazy model-theoretician’s guide to stability. Logique et Analyse (N.S.), 18(71-72), 241–308. MR: 0539969
See [Sh:54a] - Sh:55
Macintyre, A. J., & Shelah, S. (1976). Uncountable universal locally finite groups. J. Algebra, 43(1), 168–175. DOI: 10.1016/0021-8693(76)90150-2 MR: 0439625 - Sh:56
Shelah, S. (1976). Refuting Ehrenfeucht conjecture on rigid models. Israel J. Math., 25(3-4), 273–286. DOI: 10.1007/BF02757005 MR: 0485326 - Sh:57
Amit, R., & Shelah, S. (1976). The complete finitely axiomatized theories of order are dense. Israel J. Math., 23(3-4), 200–208. DOI: 10.1007/BF02761800 MR: 0485315 - Sh:58
Shelah, S. (1977). Decidability of a portion of the predicate calculus. Israel J. Math., 28(1-2), 32–44. DOI: 10.1007/BF02759780 MR: 0505410 - Sh:59
Hiller, H. L., & Shelah, S. (1977). Singular cohomology in L. Israel J. Math., 26(3–4), 313–319. DOI: 10.1007/BF03007650 MR: 0444469 - Sh:60
Hodges, W., Lachlan, A. H., & Shelah, S. (1977). Possible orderings of an indiscernible sequence. Bull. London Math. Soc., 9(2), 212–215. DOI: 10.1112/blms/9.2.212 MR: 0476525 - Sh:61
Shelah, S. (1976). Interpreting set theory in the endomorphism semi-group of afree algebra or in a category. Ann. Sci. Univ. Clermont, (60 Math. No. 13), 1–29. MR: 0505511 - Sh:62
Makowsky, J. A., & Shelah, S. (1979). The theorems of Beth and Craig in abstract model theory. I. The abstract setting. Trans. Amer. Math. Soc., 256, 215–239. DOI: 10.2307/1998109 MR: 546916 - Sh:63
Shelah, S., & Stern, J. (1978). The Hanf number of the first order theory of Banach spaces. Trans. Amer. Math. Soc., 244, 147–171. DOI: 10.2307/1997892 MR: 506613 - Sh:64
Shelah, S. (1977). Whitehead groups may be not free, even assuming CH. I. Israel J. Math., 28(3), 193–204. DOI: 10.1007/BF02759809 MR: 0469757 - Sh:65
Devlin, K. J., & Shelah, S. (1978). A weak version of \diamondsuit which follows from 2^{\aleph_0}<2^{\aleph_1}. Israel J. Math., 29(2-3), 239–247. DOI: 10.1007/BF02762012 MR: 0469756 - Sh:66
Shelah, S. (1978). End extensions and numbers of countable models. J. Symbolic Logic, 43(3), 550–562. DOI: 10.2307/2273531 MR: 503792 - Sh:67
Shelah, S. (1978). On the number of minimal models. J. Symbolic Logic, 43(3), 475–480. DOI: 10.2307/2273522 MR: 0491148 - Sh:68
Shelah, S. (1978). Jonsson algebras in successor cardinals. Israel J. Math., 30(1-2), 57–64. DOI: 10.1007/BF02760829 MR: 0505434 - Sh:69
Shelah, S. (1980). On a problem of Kurosh, Jónsson groups, and applications. In Word problems, II (Conf. on Decision Problems in Algebra, Oxford, 1976), Vol. 95, North-Holland, Amsterdam-New York, pp. 373–394. MR: 579953 - Sh:70
Gurevich, Y., & Shelah, S. (1979). Modest theory of short chains. II. J. Symbolic Logic, 44(4), 491–502. DOI: 10.2307/2273288 MR: 550378 - Sh:71
Shelah, S. (1980). A note on cardinal exponentiation. J. Symbolic Logic, 45(1), 56–66. DOI: 10.2307/2273354 MR: 560225 - Sh:72
Shelah, S. (1978). Models with second-order properties. I. Boolean algebras with no definable automorphisms. Ann. Math. Logic, 14(1), 57–72. DOI: 10.1016/0003-4843(78)90008-6 MR: 501097 - Sh:73
Shelah, S. (1978). Models with second-order properties. II. Trees with no undefined branches. Ann. Math. Logic, 14(1), 73–87. DOI: 10.1016/0003-4843(78)90009-8 MR: 501098 - Sh:74
Shelah, S. (1978). Appendix to: “Models with second-order properties. II. Trees with no undefined branches” (Ann. Math. Logic 14 (1978), no. 1, 73–87). Ann. Math. Logic, 14, 223–226. DOI: 10.1016/0003-4843(78)90017-7 MR: 506531
See [Sh:E28] - Sh:75
Shelah, S. (1978). A Banach space with few operators. Israel J. Math., 30(1-2), 181–191. DOI: 10.1007/BF02760838 MR: 508262 - Sh:76
Shelah, S. (1980). Independence of strong partition relation for small cardinals, and the free-subset problem. J. Symbolic Logic, 45(3), 505–509. DOI: 10.2307/2273418 MR: 583369 - Sh:77
Shelah, S. (1977). Existentially-closed groups in \aleph_1 with special properties. Bull. Soc. Math. Grèce (N.S.), 18(1), 17–27. MR: 528419 - Sh:78
Shelah, S. (1979). Hanf number of omitting type for simple first-order theories. J. Symbolic Logic, 44(3), 319–324. DOI: 10.2307/2273125 MR: 540663 - Sh:79
Shelah, S. (1979). On uniqueness of prime models. J. Symbolic Logic, 44(2), 215–220. DOI: 10.2307/2273729 MR: 534571 - Sh:80
Shelah, S. (1978). A weak generalization of MA to higher cardinals. Israel J. Math., 30(4), 297–306. DOI: 10.1007/BF02761994 MR: 0505492 - Sh:81
Abraham, U., Devlin, K. J., & Shelah, S. (1978). The consistency with CH of some consequences of Martin’s axiom plus 2^{\aleph_0}>\aleph_1. Israel J. Math., 31(1), 19–33. DOI: 10.1007/BF02761378 MR: 0505488 - Sh:82
Shelah, S. (1981). Models with second order properties. III. Omitting types for L(Q). Arch. Math. Logik Grundlag., 21(1-2), 1–11. DOI: 10.1007/BF02011630 MR: 625527 - Sh:83
Giorgetta, D., & Shelah, S. (1984). Existentially closed structures in the power of the continuum. Ann. Pure Appl. Logic, 26(2), 123–148. DOI: 10.1016/0168-0072(84)90013-7 MR: 739576 - Sh:84
Rubin, M., & Shelah, S. (1980). On the elementary equivalence of automorphism groups of Boolean algebras; downward Skolem-Löwenheim theorems and compactness of related quantifiers. J. Symbolic Logic, 45(2), 265–283. DOI: 10.2307/2273187 MR: 569397 - Sh:85
Devlin, K. J., & Shelah, S. (1979). A note on the normal Moore space conjecture. Canadian J. Math., 31(2), 241–251. DOI: 10.4153/CJM-1979-025-8 MR: 528801 - Sh:86
Devlin, K. J., & Shelah, S. (1979). Souslin properties and tree topologies. Proc. London Math. Soc. (3), 39(2), 237–252. DOI: 10.1112/plms/s3-39.2.237 MR: 548979 - Sh:87a
Shelah, S. (1983). Classification theory for nonelementary classes. I. The number of uncountable models of \psi \in L_{\omega_1,\omega }. Part A. Israel J. Math., 46(3), 212–240. DOI: 10.1007/BF02761954 MR: 733351 - Sh:87b
Shelah, S. (1983). Classification theory for nonelementary classes. I. The number of uncountable models of \psi \in L_{\omega_1,\omega }. Part B. Israel J. Math., 46(4), 241–273. DOI: 10.1007/BF02762887 MR: 730343 - Sh:88
Shelah, S. (1987). Classification of nonelementary classes. II. Abstract elementary classes. In Classification theory (Chicago, IL, 1985), Vol. 1292, Springer, Berlin, pp. 419–497. DOI: 10.1007/BFb0082243 MR: 1033034
Contains [Sh:88a] - Sh:89
Shelah, S. (1979). Boolean algebras with few endomorphisms. Proc. Amer. Math. Soc., 74(1), 135–142. DOI: 10.2307/2042119 MR: 521887 - Sh:90
Shelah, S. (1977). Remarks on \lambda-collectionwise Hausdorff spaces. Topology Proc., 2(2), 583–592 (1978). MR: 540629 - Sh:91
Hiller, H. L., Huber, M. K., & Shelah, S. (1978). The structure of \mathrm{Ext}(A, \mathbf Z) and V=L. Math. Z., 162(1), 39–50. DOI: 10.1007/BF01437821 MR: 0492007 - Sh:92
Shelah, S. (1980). Remarks on Boolean algebras. Algebra Universalis, 11(1), 77–89. DOI: 10.1007/BF02483083 MR: 593014 - Sh:93
Shelah, S. (1980). Simple unstable theories. Ann. Math. Logic, 19(3), 177–203. DOI: 10.1016/0003-4843(80)90009-1 MR: 595012 - Sh:94
Shelah, S. (1979). Weakly compact cardinals: a combinatorial proof. J. Symbolic Logic, 44(4), 559–562. DOI: 10.2307/2273294 MR: 550384 - Sh:95
Shelah, S. (1981). Canonization theorems and applications. J. Symbolic Logic, 46(2), 345–353. DOI: 10.2307/2273626 MR: 613287 - Sh:96
Shelah, S., & Ziegler, M. (1979). Algebraically closed groups of large cardinality. J. Symbolic Logic, 44(4), 522–532. DOI: 10.2307/2273291 MR: 550381 - Sh:97
Rudin, M. E., & Shelah, S. (1978). Unordered types of ultrafilters. Topology Proc., 3(1), 199–204 (1979). MR: 540490 - Sh:98
Shelah, S. (1980). Whitehead groups may not be free, even assuming CH. II. Israel J. Math., 35(4), 257–285. DOI: 10.1007/BF02760652 MR: 594332 - Sh:99
Harrington, L. A., & Shelah, S. (1985). Some exact equiconsistency results in set theory. Notre Dame J. Formal Logic, 26(2), 178–188. DOI: 10.1305/ndjfl/1093870823 MR: 783595 - Sh:100
Shelah, S. (1980). Independence results. J. Symbolic Logic, 45(3), 563–573. DOI: 10.2307/2273423 MR: 583374 - Sh:101
Makowsky, J. A., & Shelah, S. (1981). The theorems of Beth and Craig in abstract model theory. II. Compact logics. Arch. Math. Logik Grundlag., 21(1-2), 13–35. DOI: 10.1007/BF02011631 MR: 625528 - Sh:102
Abraham, U., & Shelah, S. (1982). Forcing with stable posets. J. Symbolic Logic, 47(1), 37–42. DOI: 10.2307/2273379 MR: 644751 - Sh:103
Fremlin, D. H., & Shelah, S. (1979). On partitions of the real line. Israel J. Math., 32(4), 299–304. DOI: 10.1007/BF02760459 MR: 571084 - Sh:104
Laver, R. J., & Shelah, S. (1981). The \aleph_2-Souslin hypothesis. Trans. Amer. Math. Soc., 264(2), 411–417. DOI: 10.2307/1998547 MR: 603771 - Sh:105
Shelah, S. (1979). On uncountable abelian groups. Israel J. Math., 32(4), 311–330. DOI: 10.1007/BF02760461 MR: 571086 - Sh:106
Abraham, U., & Shelah, S. (1981). Martin’s axiom does not imply that every two \aleph_1-dense sets of reals are isomorphic. Israel J. Math., 38(1-2), 161–176. DOI: 10.1007/BF02761858 MR: 599485 - Sh:107
Shelah, S. (1983). Models with second order properties. IV. A general method and eliminating diamonds. Ann. Pure Appl. Logic, 25(2), 183–212. DOI: 10.1016/0168-0072(83)90013-1 MR: 725733 - Sh:108
Shelah, S. (1979). On successors of singular cardinals. In Logic Colloquium ’78 (Mons, 1978), Vol. 97, North-Holland, Amsterdam-New York, pp. 357–380. MR: 567680 - Sh:109
Hodges, W., & Shelah, S. (1981). Infinite games and reduced products. Ann. Math. Logic, 20(1), 77–108. DOI: 10.1016/0003-4843(81)90012-7 MR: 611395 - Sh:110
Shelah, S. (1982). Better quasi-orders for uncountable cardinals. Israel J. Math., 42(3), 177–226. DOI: 10.1007/BF02802723 MR: 687127 - Sh:111
Shelah, S. (1986). On power of singular cardinals. Notre Dame J. Formal Logic, 27(2), 263–299. DOI: 10.1305/ndjfl/1093636617 MR: 842153 - Sh:112
Shelah, S., & Stanley, L. J. (1982). S-forcing. I. A “black-box” theorem for morasses, with applications to super-Souslin trees. Israel J. Math., 43(3), 185–224. DOI: 10.1007/BF02761942 MR: 689979 - Sh:113
Shelah, S. (1990). The theorems of Beth and Craig in abstract model theory. III. \Delta-logics and infinitary logics. Israel J. Math., 69(2), 193–213. DOI: 10.1007/BF02937304 MR: 1045373 - Sh:114
Abraham, U., & Shelah, S. (1985). Isomorphism types of Aronszajn trees. Israel J. Math., 50(1-2), 75–113. DOI: 10.1007/BF02761119 MR: 788070 - Sh:115
Cherlin, G. L., & Shelah, S. (1980). Superstable fields and groups. Ann. Math. Logic, 18(3), 227–270. DOI: 10.1016/0003-4843(80)90006-6 MR: 585519 - Sh:116
Makowsky, J. A., & Shelah, S. (1983). Positive results in abstract model theory: a theory of compact logics. Ann. Pure Appl. Logic, 25(3), 263–299. DOI: 10.1016/0168-0072(83)90021-0 MR: 730857 - Sh:117
Rubin, M., & Shelah, S. (1987). Combinatorial problems on trees: partitions, \Delta-systems and large free subtrees. Ann. Pure Appl. Logic, 33(1), 43–81. DOI: 10.1016/0168-0072(87)90075-3 MR: 870686 - Sh:118
Rubin, M., & Shelah, S. (1983). On the expressibility hierarchy of Magidor-Malitz quantifiers. J. Symbolic Logic, 48(3), 542–557. DOI: 10.2307/2273445 MR: 716614 - Sh:119
Shelah, S. (1981). Iterated forcing and changing cofinalities. Israel J. Math., 40(1), 1–32. DOI: 10.1007/BF02761815 MR: 636904 - Sh:120
Shelah, S. (1981). Free limits of forcing and more on Aronszajn trees. Israel J. Math., 38(4), 315–334. DOI: 10.1007/BF02762777 MR: 617678 - Sh:121
Magidor, M., Shelah, S., & Stavi, J. (1983). On the standard part of nonstandard models of set theory. J. Symbolic Logic, 48(1), 33–38. DOI: 10.2307/2273317 MR: 693245 - Sh:122
Shelah, S. (1981). On Fleissner’s diamond. Notre Dame J. Formal Logic, 22(1), 29–35. http://projecteuclid.org/euclid.ndjfl/1093883337 MR: 603754 - Sh:123
Gurevich, Y., & Shelah, S. (1982). Monadic theory of order and topology in ZFC. Ann. Math. Logic, 23(2-3), 179–198 (1983). DOI: 10.1016/0003-4843(82)90004-3 MR: 701125 - Sh:124
Shelah, S. (1981). \aleph_\omega may have a strong partition relation. Israel J. Math., 38(4), 283–288. DOI: 10.1007/BF02762774 MR: 617675 - Sh:125
Shelah, S. (1981). The consistency of \mathrm{Ext}(G,\,\mathbf Z)=\mathbf Q. Israel J. Math., 39(1-2), 74–82. DOI: 10.1007/BF02762854 MR: 617291 - Sh:126
Shelah, S. (1981). On saturation for a predicate. Notre Dame J. Formal Logic, 22(3), 239–248. http://projecteuclid.org/euclid.ndjfl/1093883458 MR: 614121 - Sh:127
Shelah, S. (1981). On uncountable Boolean algebras with no uncountable pairwise comparable or incomparable sets of elements. Notre Dame J. Formal Logic, 22(4), 301–308. http://projecteuclid.org/euclid.ndjfl/1093883511 MR: 622361 - Sh:128
Shelah, S. (1985). Uncountable constructions for B.A., e.c. groups and Banach spaces. Israel J. Math., 51(4), 273–297. DOI: 10.1007/BF02764721 MR: 804487 - Sh:129
Shelah, S. (1981). On the number of nonisomorphic models of cardinality \lambda L_{\infty \lambda }-equivalent to a fixed model. Notre Dame J. Formal Logic, 22(1), 5–10. http://projecteuclid.org/euclid.ndjfl/1093883334 MR: 603751 - Sh:130
Pillay, A., & Shelah, S. (1985). Classification theory over a predicate. I. Notre Dame J. Formal Logic, 26(4), 361–376. DOI: 10.1305/ndjfl/1093870929 MR: 799506 - Sh:131
Shelah, S. (1982). The spectrum problem. I. \aleph_\varepsilon-saturated models, the main gap. Israel J. Math., 43(4), 324–356. DOI: 10.1007/BF02761237 MR: 693353 - Sh:132
Shelah, S. (1982). The spectrum problem. II. Totally transcendental and infinite depth. Israel J. Math., 43(4), 357–364. DOI: 10.1007/BF02761238 MR: 693354 - Sh:133
Shelah, S. (1982). On the number of nonisomorphic models in L_{\infty,\kappa } when \kappa is weakly compact. Notre Dame J. Formal Logic, 23(1), 21–26. http://projecteuclid.org/euclid.ndjfl/1093883562 MR: 634740 - Sh:134
Gabbay, D. M., Pnueli, A., Shelah, S., & Stavi, J. (1980). On the Temporal Analysis of Fairness. In Proceedings of the 7th ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, Association Comp. Machinery, NY, pp. 163–173. DOI: 10.1145/567446.567462 - Sh:135
Glass, A. M. W., Gurevich, Y., Holland, W. C., & Shelah, S. (1981). Rigid homogeneous chains. Math. Proc. Cambridge Philos. Soc., 89(1), 7–17. DOI: 10.1017/S0305004100057881 MR: 591966 - Sh:136
Shelah, S. (1983). Constructions of many complicated uncountable structures and Boolean algebras. Israel J. Math., 45(2-3), 100–146. DOI: 10.1007/BF02774012 MR: 719115 - Sh:137
Shelah, S. (1983). The singular cardinals problem: independence results. In Surveys in set theory, Vol. 87, Cambridge Univ. Press, Cambridge, pp. 116–134. DOI: 10.1017/CBO9780511758867.004 MR: 823777 - Sh:138
Sageev, G., & Shelah, S. (1985). On the structure of \mathrm{Ext}(A,\mathbf Z) in ZFC^+. J. Symbolic Logic, 50(2), 302–315. DOI: 10.2307/2274216 MR: 793108 - Sh:139
Shelah, S. (1983). On the number of nonconjugate subgroups. Algebra Universalis, 16(2), 131–146. DOI: 10.1007/BF01191760 MR: 692252 - Sh:140
Shelah, S. (1981). On endo-rigid, strongly \aleph_1-free abelian groups in \aleph_1. Israel J. Math., 40(3-4), 291–295 (1982). DOI: 10.1007/BF02761369 MR: 654584 - Sh:141
Gurevich, Y., Magidor, M., & Shelah, S. (1983). The monadic theory of \omega_2. J. Symbolic Logic, 48(2), 387–398. DOI: 10.2307/2273556 MR: 704093 - Sh:142
Baldwin, J. T., & Shelah, S. (1983). The structure of saturated free algebras. Algebra Universalis, 17(2), 191–199. DOI: 10.1007/BF01194528 MR: 726272 - Sh:143
Gurevich, Y., & Shelah, S. (1984). The monadic theory and the “next world”. Israel J. Math., 49(1-3), 55–68. DOI: 10.1007/BF02760646 MR: 788265 - Sh:144
Magidor, M., Shelah, S., & Stavi, J. (1984). Countably decomposable admissible sets. Ann. Pure Appl. Logic, 26(3), 287–361. DOI: 10.1016/0168-0072(84)90006-X MR: 747687 - Sh:145
Eklof, P. C., Mekler, A. H., & Shelah, S. (1984). Almost disjoint abelian groups. Israel J. Math., 49(1-3), 34–54. DOI: 10.1007/BF02760645 MR: 788264 - Sh:146
Abraham, U., & Shelah, S. (1983). Forcing closed unbounded sets. J. Symbolic Logic, 48(3), 643–657. DOI: 10.2307/2273456 MR: 716625 - Sh:147
Harrington, L. A., & Shelah, S. (1982). The undecidability of the recursively enumerable degrees. Bull. Amer. Math. Soc. (N.S.), 6(1), 79–80. DOI: 10.1090/S0273-0979-1982-14970-9 MR: 634436 - Sh:148
Sageev, G., & Shelah, S. (1981). Weak compactness and the structure of \mathrm{Ext}(A,\,\mathbf Z). In Abelian group theory (Oberwolfach, 1981), Vol. 874, Springer, Berlin-New York, pp. 87–92. MR: 645920 - Sh:149
Friedman, S.-D., & Shelah, S. (1983). Tall \alpha-recursive structures. Proc. Amer. Math. Soc., 88(4), 672–678. DOI: 10.2307/2045460 MR: 702297 - Sh:150
Kaufmann, M., & Shelah, S. (1986). The Hanf number of stationary logic. Notre Dame J. Formal Logic, 27(1), 111–123. DOI: 10.1305/ndjfl/1093636530 MR: 819653 - Sh:151
Gurevich, Y., & Shelah, S. (1983). Interpreting second-order logic in the monadic theory of order. J. Symbolic Logic, 48(3), 816–828. DOI: 10.2307/2273475 MR: 716644 - Sh:152
Harrington, L. A., & Shelah, S. (1982). Counting equivalence classes for co-\kappa-Souslin equivalence relations. In Logic Colloquium ’80 (Prague, 1980), Vol. 108, North-Holland, Amsterdam-New York, pp. 147–152. MR: 673790 - Sh:153
Abraham, U., Rubin, M., & Shelah, S. (1985). On the consistency of some partition theorems for continuous colorings, and the structure of \aleph_1-dense real order types. Ann. Pure Appl. Logic, 29(2), 123–206. DOI: 10.1016/0168-0072(84)90024-1 MR: 801036 - Sh:154
Shelah, S., & Stanley, L. J. (1982). Generalized Martin’s axiom and Souslin’s hypothesis for higher cardinals. Israel J. Math., 43(3), 225–236. DOI: 10.1007/BF02761943 MR: 689980
See [Sh:154a] - Sh:155
Shelah, S. (1986). The spectrum problem. III. Universal theories. Israel J. Math., 55(2), 229–256. DOI: 10.1007/BF02801997 MR: 868182 - Sh:156
Baldwin, J. T., & Shelah, S. (1985). Second-order quantifiers and the complexity of theories. Notre Dame J. Formal Logic, 26(3), 229–303. DOI: 10.1305/ndjfl/1093870870 MR: 796638 - Sh:157
Lachlan, A. H., & Shelah, S. (1984). Stable structures homogeneous for a finite binary language. Israel J. Math., 49(1-3), 155–180. DOI: 10.1007/BF02760648 MR: 788267 - Sh:158
Harrington, L. A., Makkai, M., & Shelah, S. (1984). A proof of Vaught’s conjecture for \omega-stable theories. Israel J. Math., 49(1-3), 259–280. DOI: 10.1007/BF02760651 MR: 788270 - Sh:159
Shelah, S., & Woodin, W. H. (1984). Forcing the failure of CH by adding a real. J. Symbolic Logic, 49(4), 1185–1189. DOI: 10.2307/2274270 MR: 771786 - Sh:160
Hodges, W., & Shelah, S. (1986). Naturality and definability. I. J. London Math. Soc. (2), 33(1), 1–12. DOI: 10.1112/jlms/s2-33.1.1 MR: 829382 - Sh:161
Shelah, S. (1985). Incompactness in regular cardinals. Notre Dame J. Formal Logic, 26(3), 195–228. DOI: 10.1305/ndjfl/1093870869 MR: 796637 - Sh:162
Hart, B. T., Laflamme, C., & Shelah, S. (1993). Models with second order properties. V. A general principle. Ann. Pure Appl. Logic, 64(2), 169–194. arXiv: math/9311211 DOI: 10.1016/0168-0072(93)90033-A MR: 1241253 - Sh:163
Gurevich, Y., & Shelah, S. (1985). To the decision problem for branching time logic. In Foundations of logic and linguistics (Salzburg, 1983), Plenum, New York, pp. 181–198. MR: 797952 - Sh:164
Jarden, M., & Shelah, S. (1983). Pseudo-algebraically closed fields over rational function fields. Proc. Amer. Math. Soc., 87(2), 223–228. DOI: 10.2307/2043693 MR: 681825 - Sh:165
Shelah, S., & Weiss, B. (1982). Measurable recurrence and quasi-invariant measures. Israel J. Math., 43(2), 154–160. DOI: 10.1007/BF02761726 MR: 689974 - Sh:166
Mekler, A. H., & Shelah, S. (1985). Stationary logic and its friends. I. Notre Dame J. Formal Logic, 26(2), 129–138. DOI: 10.1305/ndjfl/1093870821 MR: 783593 - Sh:167
Shelah, S., & Stanley, L. J. (1986). S-forcing. IIa. Adding diamonds and more applications: coding sets, Arhangelskiı̆’s problem and {\mathcal L}[Q^{<\omega}_1,Q^1_2]. Israel J. Math., 56(1), 1–65. With an appendix by John P. Burgess DOI: 10.1007/BF02776239 MR: 879913 - Sh:168
Gurevich, Y., & Shelah, S. (1989). On the strength of the interpretation method. J. Symbolic Logic, 54(2), 305–323. DOI: 10.2307/2274850 MR: 997869 - Sh:169
Eklof, P. C., Mekler, A. H., & Shelah, S. (1987). On strongly nonreflexive groups. Israel J. Math., 59(3), 283–298. DOI: 10.1007/BF02774142 MR: 920497 - Sh:170
Shelah, S. (1984). On logical sentences in PA. In Logic colloquium ’82 (Florence, 1982), Vol. 112, North-Holland, Amsterdam, pp. 145–160. DOI: 10.1016/S0049-237X(08)71815-9 MR: 762109 - Sh:172
Shelah, S. (1984). A combinatorial principle and endomorphism rings. I. On p-groups. Israel J. Math., 49(1-3), 239–257. DOI: 10.1007/BF02760650 MR: 788269 - Sh:173
Aharoni, R., Nash-Williams, C. S. J. A., & Shelah, S. (1984). Marriage in infinite societies. In Progress in graph theory (Waterloo, Ont., 1982), Academic Press, Toronto, ON, pp. 71–79. MR: 776791 - Sh:174
Grossberg, R. P., & Shelah, S. (1983). On universal locally finite groups. Israel J. Math., 44(4), 289–302. DOI: 10.1007/BF02761988 MR: 710234 - Sh:175
Shelah, S. (1984). On universal graphs without instances of CH. Ann. Pure Appl. Logic, 26(1), 75–87. DOI: 10.1016/0168-0072(84)90042-3 MR: 739914 - Sh:175a
Shelah, S. (1990). Universal graphs without instances of CH: revisited. Israel J. Math., 70(1), 69–81. DOI: 10.1007/BF02807219 MR: 1057268 - Sh:176
Shelah, S. (1984). Can you take Solovay’s inaccessible away? Israel J. Math., 48(1), 1–47. DOI: 10.1007/BF02760522 MR: 768264 - Sh:177
Shelah, S. (1984). More on proper forcing. J. Symbolic Logic, 49(4), 1034–1038. DOI: 10.2307/2274259 MR: 771775 - Sh:178
Gurevich, Y., & Shelah, S. (1983). Random models and the Gödel case of the decision problem. J. Symbolic Logic, 48(4), 1120–1124 (1984). DOI: 10.2307/2273674 MR: 727799 - Sh:179
Shelah, S., & Steinhorn, C. I. (1986). On the nonaxiomatizability of some logics by finitely many schemas. Notre Dame J. Formal Logic, 27(1), 1–11. DOI: 10.1305/ndjfl/1093636517 MR: 819640 - Sh:180
Shelah, S., & Steinhorn, C. I. (1990). The nonaxiomatizability of L(Q^2_{\aleph_1}) by finitely many schemata. Notre Dame J. Formal Logic, 31(1), 1–13. DOI: 10.1305/ndjfl/1093635328 MR: 1043787 - Sh:181
Kaufmann, M., & Shelah, S. (1984). A nonconservativity result on global choice. Ann. Pure Appl. Logic, 27(3), 209–214. DOI: 10.1016/0168-0072(84)90026-5 MR: 765590 - Sh:182
Abraham, U., & Shelah, S. (1986). On the intersection of closed unbounded sets. J. Symbolic Logic, 51(1), 180–189. DOI: 10.2307/2273954 MR: 830084 - Sh:183
Gurevich, Y., & Shelah, S. (1983). Rabin’s uniformization problem. J. Symbolic Logic, 48(4), 1105–1119 (1984). DOI: 10.2307/2273673 MR: 727798 - Sh:184
Goldfarb, W. D., Gurevich, Y., & Shelah, S. (1984). A decidable subclass of the minimal Gödel class with identity. J. Symbolic Logic, 49(4), 1253–1261. DOI: 10.2307/2274275 MR: 771791 - Sh:185
Shelah, S. (1983). Lifting problem of the measure algebra. Israel J. Math., 45(1), 90–96. DOI: 10.1007/BF02760673 MR: 710248 - Sh:186
Shelah, S. (1984). Diamonds, uniformization. J. Symbolic Logic, 49(4), 1022–1033. DOI: 10.2307/2274258 MR: 771774 - Sh:187
Mekler, A. H., & Shelah, S. (1986). Stationary logic and its friends. II. Notre Dame J. Formal Logic, 27(1), 39–50. DOI: 10.1305/ndjfl/1093636521 MR: 819644 - Sh:188
Shelah, S. (1984). A pair of nonisomorphic \equiv_{\infty \lambda } models of power \lambda for \lambda singular with \lambda ^\omega =\lambda. Notre Dame J. Formal Logic, 25(2), 97–104. DOI: 10.1305/ndjfl/1093870570 MR: 733596 - Sh:189
Shelah, S. (1985). On the possible number \mathrm{no}(M) = the number of nonisomorphic models L_{\infty,\lambda}-equivalent to M of power \lambda, for \lambda singular. Notre Dame J. Formal Logic, 26(1), 36–50. DOI: 10.1305/ndjfl/1093870759 MR: 766665 - Sh:190
Göbel, R., & Shelah, S. (1985). Semirigid classes of cotorsion-free abelian groups. J. Algebra, 93(1), 136–150. DOI: 10.1016/0021-8693(85)90178-4 MR: 780487 - Sh:191
Gitik, M., & Shelah, S. (1984). On the \mathbb I-condition. Israel J. Math., 48(2-3), 148–158. DOI: 10.1007/BF02761160 MR: 770697 - Sh:192
Shelah, S. (1987). Uncountable groups have many nonconjugate subgroups. Ann. Pure Appl. Logic, 36(2), 153–206. DOI: 10.1016/0168-0072(87)90016-9 MR: 911580 - Sh:193
Lehmann, D. J., & Shelah, S. (1982). Reasoning with time and chance. Inform. And Control, 53(3), 165–198. DOI: 10.1016/S0019-9958(82)91022-1 MR: 715529 - Sh:194
Aharoni, R., Nash-Williams, C. S. J. A., & Shelah, S. (1983). A general criterion for the existence of transversals. Proc. London Math. Soc. (3), 47(1), 43–68. DOI: 10.1112/plms/s3-47.1.43 MR: 698927 - Sh:195
Droste, M., & Shelah, S. (1985). A construction of all normal subgroup lattices of 2-transitive automorphism groups of linearly ordered sets. Israel J. Math., 51(3), 223–261. DOI: 10.1007/BF02772666 MR: 804485 - Sh:196
Aharoni, R., Nash-Williams, C. S. J. A., & Shelah, S. (1984). Another form of a criterion for the existence of transversals. J. London Math. Soc. (2), 29(2), 193–203. DOI: 10.1112/jlms/s2-29.2.193 MR: 744087 - Sh:198
Levinski, J.-P., Magidor, M., & Shelah, S. (1990). Chang’s conjecture for \aleph_\omega. Israel J. Math., 69(2), 161–172. DOI: 10.1007/BF02937302 MR: 1045371 - Sh:199
Shelah, S. (1985). Remarks in abstract model theory. Ann. Pure Appl. Logic, 29(3), 255–288. DOI: 10.1016/0168-0072(85)90002-8 MR: 808815 - Sh:200
Shelah, S. (1985). Classification of first order theories which have a structure theorem. Bull. Amer. Math. Soc. (N.S.), 12(2), 227–232. DOI: 10.1090/S0273-0979-1985-15354-6 MR: 776474 - Sh:201
Kaufmann, M., & Shelah, S. (1985). On random models of finite power and monadic logic. Discrete Math., 54(3), 285–293. DOI: 10.1016/0012-365X(85)90112-8 MR: 790589 - Sh:202
Shelah, S. (1984). On co-\kappa-Souslin relations. Israel J. Math., 47(2-3), 139–153. DOI: 10.1007/BF02760513 MR: 738165 - Sh:203
Ben-David, S., & Shelah, S. (1986). Souslin trees and successors of singular cardinals. Ann. Pure Appl. Logic, 30(3), 207–217. DOI: 10.1016/0168-0072(86)90020-5 MR: 836425 - Sh:204
Magidor, M., & Shelah, S. (1994). When does almost free imply free? (For groups, transversals, etc.). J. Amer. Math. Soc., 7(4), 769–830. DOI: 10.2307/2152733 MR: 1249391 - Sh:205
Shelah, S. (1985). Monadic logic and Löwenheim numbers. Ann. Pure Appl. Logic, 28(2), 203–216. DOI: 10.1016/0168-0072(85)90026-0 MR: 779162 - Sh:206
Shelah, S. (1988). Decomposing topological spaces into two rigid homeomorphic subspaces. Israel J. Math., 63(2), 183–211. DOI: 10.1007/BF02765038 MR: 968538 - Sh:207
Shelah, S. (1984). On cardinal invariants of the continuum. In Axiomatic set theory (Boulder, Colo., 1983), Vol. 31, Amer. Math. Soc., Providence, RI, pp. 183–207. DOI: 10.1090/conm/031/763901 MR: 763901 - Sh:208
Shelah, S. (1985). More on the weak diamond. Ann. Pure Appl. Logic, 28(3), 315–318. DOI: 10.1016/0168-0072(85)90019-3 MR: 790390 - Sh:209
Shelah, S., & Todorčević, S. (1986). A note on small Baire spaces. Canad. J. Math., 38(3), 659–665. DOI: 10.4153/CJM-1986-033-8 MR: 845670 - Sh:210
Bonnet, R., & Shelah, S. (1985). Narrow Boolean algebras. Ann. Pure Appl. Logic, 28(1), 1–12. DOI: 10.1016/0168-0072(85)90028-4 MR: 776283 - Sh:211
Shelah, S. (1992). The Hanf numbers of stationary logic. II. Comparison with other logics. Notre Dame J. Formal Logic, 33(1), 1–12. arXiv: math/9201243 DOI: 10.1305/ndjfl/1093636007 MR: 1149955 - Sh:213
Denenberg, L., Gurevich, Y., & Shelah, S. (1986). Definability by constant-depth polynomial-size circuits. Inform. And Control, 70(2-3), 216–240. DOI: 10.1016/S0019-9958(86)80006-7 MR: 859107 - Sh:214
Mekler, A. H., & Shelah, S. (1986). \omega-elongations and Crawley’s problem. Pacific J. Math., 121(1), 121–132. http://projecteuclid.org/euclid.pjm/1102702803 MR: 815039 - Sh:214a
Mekler, A. H., & Shelah, S. (1986). The solution to Crawley’s problem. Pacific J. Math., 121(1), 133–134. http://projecteuclid.org/euclid.pjm/1102702804 MR: 815040 - Sh:215
Harrington, L. A., Marker, D. E., & Shelah, S. (1988). Borel orderings. Trans. Amer. Math. Soc., 310(1), 293–302. DOI: 10.2307/2001122 MR: 965754 - Sh:216
Holland, W. C., Mekler, A. H., & Shelah, S. (1985). Lawless order. Order, 1(4), 383–397. DOI: 10.1007/BF00582744 MR: 787550 - Sh:216a
Holland, W. C., Mekler, A. H., & Shelah, S. (1986). Total orders whose carried groups satisfy no laws. In Algebra and order (Luminy-Marseille, 1984), Vol. 14, Heldermann, Berlin, pp. 29–33. MR: 891446 - Sh:218
Shelah, S. (1985). On measure and category. Israel J. Math., 52(1-2), 110–114. DOI: 10.1007/BF02776084 MR: 815606 - Sh:219
Göbel, R., & Shelah, S. (1985). Modules over arbitrary domains. Math. Z., 188(3), 325–337. DOI: 10.1007/BF01159179 MR: 771988 - Sh:220
Shelah, S. (1987). Existence of many L_{\infty,\lambda}-equivalent, nonisomorphic models of T of power \lambda. Ann. Pure Appl. Logic, 34(3), 291–310. DOI: 10.1016/0168-0072(87)90005-4 MR: 899084 - Sh:221
Abraham, U., Shelah, S., & Solovay, R. M. (1987). Squares with diamonds and Souslin trees with special squares. Fund. Math., 127(2), 133–162. DOI: 10.4064/fm-127-2-133-162 MR: 882623 - Sh:222
Grossberg, R. P., & Shelah, S. (1986). On the number of nonisomorphic models of an infinitary theory which has the infinitary order property. I. J. Symbolic Logic, 51(2), 302–322. DOI: 10.2307/2274053 MR: 840407 - Sh:223
Droste, M., & Shelah, S. (1987). On the universality of systems of words in permutation groups. Pacific J. Math., 127(2), 321–328. http://projecteuclid.org/euclid.pjm/1102699565 MR: 881762 - Sh:224
Göbel, R., & Shelah, S. (1986). Modules over arbitrary domains. II. Fund. Math., 126(3), 217–243. DOI: 10.4064/fm-126-3-217-243 MR: 882431 - Sh:225
Shelah, S. (1987). On the number of strongly \aleph_\epsilon-saturated models of power \lambda. Ann. Pure Appl. Logic, 36(3), 279–287. DOI: 10.1016/0168-0072(87)90020-0 MR: 915901
See [Sh:225a] - Sh:225a
Shelah, S. (1988). Number of strongly \aleph_\epsilon saturated models—an addition. Ann. Pure Appl. Logic, 40(1), 89–91. DOI: 10.1016/0168-0072(88)90041-3 MR: 965589
improvement of [Sh:225] - Sh:226
Foreman, M. D., Magidor, M., & Shelah, S. (1986). 0^\sharp and some forcing principles. J. Symbolic Logic, 51(1), 39–46. DOI: 10.2307/2273940 MR: 830070 - Sh:227
Shelah, S. (1984). A combinatorial theorem and endomorphism rings of abelian groups. II. In Abelian groups and modules (Udine, 1984), Vol. 287, Springer, Vienna, pp. 37–86. DOI: 10.1007/978-3-7091-2814-5_3 MR: 789808 - Sh:230
Gurevich, Y., & Shelah, S. (1985). The decision problem for branching time logic. J. Symbolic Logic, 50(3), 668–681. DOI: 10.2307/2274321 MR: 805676 - Sh:231
Juhász, I., & Shelah, S. (1986). How large can a hereditarily separable or hereditarily Lindelöf space be? Israel J. Math., 53(3), 355–364. DOI: 10.1007/BF02786567 MR: 852486 - Sh:235
Shelah, S., & Soifer, A. (1986). Two problems on \aleph_0-indecomposable abelian groups. J. Algebra, 99(2), 359–369. DOI: 10.1016/0021-8693(86)90033-5 MR: 837550 - Sh:236
Ben-David, S., & Shelah, S. (1986). Nonspecial Aronszajn trees on \aleph_{\omega+1}. Israel J. Math., 53(1), 93–96. DOI: 10.1007/BF02772672 MR: 861900 - Sh:238
Grossberg, R. P., & Shelah, S. (1986). A nonstructure theorem for an infinitary theory which has the unsuperstability property. Illinois J. Math., 30(2), 364–390. http://projecteuclid.org/euclid.ijm/1256044645 MR: 840135 - Sh:239
Shelah, S., & Soifer, A. (1986). Countable \aleph_0-indecomposable mixed abelian groups of finite torsion-free rank. J. Algebra, 100(2), 421–429. DOI: 10.1016/0021-8693(86)90085-2 MR: 840585 - Sh:240
Foreman, M. D., Magidor, M., & Shelah, S. (1988). Martin’s maximum, saturated ideals, and nonregular ultrafilters. I. Ann. Of Math. (2), 127(1), 1–47. DOI: 10.2307/1971415 MR: 924672
See [Sh:240a] - Sh:241
Shelah, S., & Woodin, W. H. (1990). Large cardinals imply that every reasonably definable set of reals is Lebesgue measurable. Israel J. Math., 70(3), 381–394. DOI: 10.1007/BF02801471 MR: 1074499 - Sh:242
Blass, A. R., & Shelah, S. (1987). There may be simple P_{\aleph_1}- and P_{\aleph_2}-points and the Rudin-Keisler ordering may be downward directed. Ann. Pure Appl. Logic, 33(3), 213–243. DOI: 10.1016/0168-0072(87)90082-0 MR: 879489 - Sh:243
Gurevich, Y., & Shelah, S. (1987). Expected computation time for Hamiltonian path problem. SIAM J. Comput., 16(3), 486–502. DOI: 10.1137/0216034 MR: 889404 - Sh:244a
Gurevich, Y., & Shelah, S. (1986). Fixed-point extensions of first-order logic. Ann. Pure Appl. Logic, 32(3), 265–280. DOI: 10.1016/0168-0072(86)90055-2 MR: 865992
See [Sh:244] - Sh:245
Compton, K. J., Henson, C. W., & Shelah, S. (1987). Nonconvergence, undecidability, and intractability in asymptotic problems. Ann. Pure Appl. Logic, 36(3), 207–224. DOI: 10.1016/0168-0072(87)90017-0 MR: 915898 - Sh:246
Shelah, S. (1991). On a problem in cylindric algebra. In Algebraic logic (Budapest, 1988), Vol. 54, North-Holland, Amsterdam, pp. 645–664. MR: 1153444 - Sh:249
Hajnal, A., Juhász, I., & Shelah, S. (1986). Splitting strongly almost disjoint families. Trans. Amer. Math. Soc., 295(1), 369–387. DOI: 10.2307/2000161 MR: 831204 - Sh:250
Shelah, S. (1988). Some notes on iterated forcing with 2^{\aleph_0}>\aleph_2. Notre Dame J. Formal Logic, 29(1), 1–17. DOI: 10.1305/ndjfl/1093637766 MR: 932690 - Sh:251
Mekler, A. H., & Shelah, S. (1987). When \kappa-free implies strongly \kappa-free. In Abelian group theory (Oberwolfach, 1985), Gordon; Breach, New York, pp. 137–148. MR: 1011309 - Sh:252
Foreman, M. D., Magidor, M., & Shelah, S. (1988). Martin’s maximum, saturated ideals and nonregular ultrafilters. II. Ann. Of Math. (2), 127(3), 521–545. DOI: 10.2307/2007004 MR: 942519 - Sh:253
Shelah, S. (1987). Iterated forcing and normal ideals on \omega_1. Israel J. Math., 60(3), 345–380. DOI: 10.1007/BF02780398 MR: 937796
initial version of Ch. XIII of [Sh:f] - Sh:254
Baumgartner, J. E., & Shelah, S. (1987). Remarks on superatomic Boolean algebras. Ann. Pure Appl. Logic, 33(2), 109–129. DOI: 10.1016/0168-0072(87)90077-7 MR: 874021 - Sh:255
Eklof, P. C., & Shelah, S. (1987). On groups A such that A\oplus \mathbf Z^n\cong A. In Abelian group theory (Oberwolfach, 1985), Gordon; Breach, New York, pp. 149–163. MR: 1011310 - Sh:256
Shelah, S. (1987). More on powers of singular cardinals. Israel J. Math., 59(3), 299–326. DOI: 10.1007/BF02774143 MR: 920498 - Sh:257
Blass, A. R., & Shelah, S. (1989). Ultrafilters with small generating sets. Israel J. Math., 65(3), 259–271. DOI: 10.1007/BF02764864 MR: 1005010 - Sh:258
Shelah, S., & Stanley, L. J. (1987). A theorem and some consistency results in partition calculus. Ann. Pure Appl. Logic, 36(2), 119–152. DOI: 10.1016/0168-0072(87)90015-7 MR: 911579 - Sh:260
Shelah, S., & Steprāns, J. (1987). Extraspecial p-groups. Ann. Pure Appl. Logic, 34(1), 87–97. DOI: 10.1016/0168-0072(87)90041-8 MR: 887554 - Sh:261
Shelah, S. (1988). A graph which embeds all small graphs on any large set of vertices. Ann. Pure Appl. Logic, 38(2), 171–183. DOI: 10.1016/0168-0072(88)90052-8 MR: 938374 - Sh:262
Shelah, S. (1989). The number of pairwise non-elementarily-embeddable models. J. Symbolic Logic, 54(4), 1431–1455. DOI: 10.2307/2274824 MR: 1026608 - Sh:263
Shelah, S. (1987). Semiproper forcing axiom implies Martin maximum but not PFA^+. J. Symbolic Logic, 52(2), 360–367. DOI: 10.2307/2274385 MR: 890443
represented in Ch. XVII of [Sh:f] - Sh:264
Shelah, S., & Steprāns, J. (1988). A Banach space on which there are few operators. Proc. Amer. Math. Soc., 104(1), 101–105. DOI: 10.2307/2047469 MR: 958051 - Sh:265
Dugas, M. H., Fay, T. H., & Shelah, S. (1987). Singly cogenerated annihilator classes. J. Algebra, 109(1), 127–137. DOI: 10.1016/0021-8693(87)90168-2 MR: 898341 - Sh:266
Shelah, S. (2019). Compactness in singular cardinals revisited. Sarajevo J. Math., 15(28)(2), 201–208. arXiv: 1401.3175 DOI: 10.5644/sjm MR: 4069744 - Sh:267
Fleissner, W. G., & Shelah, S. (1989). Collectionwise Hausdorff: incompactness at singulars. Topology Appl., 31(2), 101–107. DOI: 10.1016/0166-8641(89)90074-6 MR: 994403 - Sh:268
Hajnal, A., Kanamori, A., & Shelah, S. (1987). Regressive partition relations for infinite cardinals. Trans. Amer. Math. Soc., 299(1), 145–154. DOI: 10.2307/2000486 MR: 869404 - Sh:269
Shelah, S. (1989). “Gap 1” two-cardinal principles and the omitting types theorem for \mathcal L (Q). Israel J. Math., 65(2), 133–152. DOI: 10.1007/BF02764857 MR: 998667 - Sh:270
Shelah, S. (1989). Baire irresolvable spaces and lifting for a layered ideal. Topology Appl., 33(3), 217–221. DOI: 10.1016/0166-8641(89)90102-8 MR: 1026923 - Sh:271
Hodges, W., & Shelah, S. (1991). There are reasonably nice logics. J. Symbolic Logic, 56(1), 300–322. DOI: 10.2307/2274921 MR: 1131747 - Sh:272
Shelah, S. (1987). On almost categorical theories. In Classification theory (Chicago, IL, 1985), Vol. 1292, Springer, Berlin, pp. 498–500. DOI: 10.1007/BFb0082244 MR: 1033035 - Sh:273
Shelah, S. (1988). Can the fundamental (homotopy) group of a space be the rationals? Proc. Amer. Math. Soc., 103(2), 627–632. DOI: 10.2307/2047190 MR: 943095 - Sh:274
Mekler, A. H., & Shelah, S. (1989). Uniformization principles. J. Symbolic Logic, 54(2), 441–459. DOI: 10.2307/2274859 MR: 997878 - Sh:275
Mekler, A. H., & Shelah, S. (1989). L_{\infty\omega}-free algebras. Algebra Universalis, 26(3), 351–366. DOI: 10.1007/BF01211842 MR: 1044855 - Sh:276
Shelah, S. (1988). Was Sierpiński right? I. Israel J. Math., 62(3), 355–380. DOI: 10.1007/BF02783304 MR: 955139 - Sh:277
Gurevich, Y., & Shelah, S. (1989). Nearly linear time. In Logic at Botik ’89 (Pereslavl-Zalesskiy, 1989), Vol. 363, Springer, Berlin, pp. 108–118. DOI: 10.1007/3-540-51237-3_10 MR: 1030571 - Sh:278
Chatzidakis, Z. M., Cherlin, G. L., Shelah, S., Srour, G., & Wood, C. (1987). Orthogonality of types in separably closed fields. In Classification theory (Chicago, IL, 1985), Vol. 1292, Springer, Berlin, pp. 72–88. DOI: 10.1007/BFb0082232 MR: 1033023 - Sh:279
Shelah, S., & Stanley, L. J. (1988). Weakly compact cardinals and nonspecial Aronszajn trees. Proc. Amer. Math. Soc., 104(3), 887–897. DOI: 10.2307/2046812 MR: 964870 - Sh:280
Shelah, S. (1990). Strong negative partition above the continuum. J. Symbolic Logic, 55(1), 21–31. DOI: 10.2307/2274951 MR: 1043541 - Sh:281
Drezner, Z., & Shelah, S. (1987). On the complexity of the Elzinga-Hearn algorithm for the 1-center problem. Math. Oper. Res., 12(2), 255–261. DOI: 10.1287/moor.12.2.255 MR: 888974 - Sh:282
Shelah, S. (1988). Successors of singulars, cofinalities of reduced products of cardinals and productivity of chain conditions. Israel J. Math., 62(2), 213–256. DOI: 10.1007/BF02787123 MR: 947823 - Sh:283
Shelah, S. (1987). On reconstructing separable reduced p-groups with a given socle. Israel J. Math., 60(2), 146–166. DOI: 10.1007/BF02790788 MR: 931873 - Sh:284a
Shelah, S. (1988). Notes on monadic logic. Part A. Monadic theory of the real line. Israel J. Math., 63(3), 335–352. DOI: 10.1007/BF02778038 MR: 969946 - Sh:284b
Shelah, S. (1990). Notes on monadic logic. Part B: Complexity of linear orders in ZFC. Israel J. Math., 69(1), 94–116. DOI: 10.1007/BF02764732 MR: 1046176 - Sh:284c
Shelah, S. (1990). More on monadic logic. Part C. Monadically interpreting in stable unsuperstable \mathcal T and the monadic theory of {}^\omega\lambda. Israel J. Math., 70(3), 353–364. DOI: 10.1007/BF02801469 MR: 1074497 - Sh:284d
Shelah, S. (1989). More on monadic logic. Part D: A note on addition of theories. Israel J. Math., 68(3), 302–306. DOI: 10.1007/BF02764986 MR: 1039475 - Sh:285
Makkai, M., & Shelah, S. (1990). Categoricity of theories in L_{\kappa\omega}, with \kappa a compact cardinal. Ann. Pure Appl. Logic, 47(1), 41–97. DOI: 10.1016/0168-0072(90)90016-U MR: 1050561 - Sh:286
Judah, H. I., & Shelah, S. (1988). Q-sets do not necessarily have strong measure zero. Proc. Amer. Math. Soc., 102(3), 681–683. DOI: 10.2307/2047245 MR: 929002 - Sh:287
Blass, A. R., & Shelah, S. (1989). Near coherence of filters. III. A simplified consistency proof. Notre Dame J. Formal Logic, 30(4), 530–538. DOI: 10.1305/ndjfl/1093635236 MR: 1036674 - Sh:288
Shelah, S. (1992). Strong partition relations below the power set: consistency; was Sierpiński right? II. In Sets, graphs and numbers (Budapest, 1991), Vol. 60, North-Holland, Amsterdam, pp. 637–668. arXiv: math/9201244 MR: 1218224 - Sh:289
Shelah, S. (1989). Consistency of positive partition theorems for graphs and models. In Set theory and its applications (Toronto, ON, 1987), Vol. 1401, Springer, Berlin, pp. 167–193. DOI: 10.1007/BFb0097339 MR: 1031773 - Sh:290
Biró, B., & Shelah, S. (1988). Isomorphic but not lower base-isomorphic cylindric set algebras. J. Symbolic Logic, 53(3), 846–853. DOI: 10.2307/2274576 MR: 961003 - Sh:291
Mekler, A. H., Nelson, E. M., & Shelah, S. (1993). A variety with solvable, but not uniformly solvable, word problem. Proc. London Math. Soc. (3), 66(2), 225–256. arXiv: math/9301203 DOI: 10.1112/plms/s3-66.2.225 MR: 1199065 - Sh:292
Judah, H. I., & Shelah, S. (1988). Souslin forcing. J. Symbolic Logic, 53(4), 1188–1207. DOI: 10.2307/2274613 MR: 973109 - Sh:293
Shelah, S., & Stanley, L. J. (1993). More consistency results in partition calculus. Israel J. Math., 81(1-2), 97–110. DOI: 10.1007/BF02761299 MR: 1231180 - Sh:294
Shelah, S., & Stanley, L. J. (1992). Coding and reshaping when there are no sharps. In Set theory of the continuum (Berkeley, CA, 1989), Vol. 26, Springer, New York, pp. 407–416. arXiv: math/9201249 DOI: 10.1007/978-1-4613-9754-0_21 MR: 1233827 - Sh:296
Shelah, S., & Steprāns, J. (1989). Nontrivial homeomorphisms of \beta \mathbf N\setminus \mathbf N without the continuum hypothesis. Fund. Math., 132(2), 135–141. DOI: 10.4064/fm-132-2-135-141 MR: 1002627 - Sh:297
Hodkinson, I. M., & Shelah, S. (1993). A construction of many uncountable rings using SFP domains and Aronszajn trees. Proc. London Math. Soc. (3), 67(3), 449–492. DOI: 10.1112/plms/s3-67.3.449 MR: 1238042 - Sh:298
Eklof, P. C., & Shelah, S. (1987). A calculation of injective dimension over valuation domains. Rend. Sem. Mat. Univ. Padova, 78, 279–284. http://www.numdam.org/item?id=RSMUP_1987__78__279_0 MR: 934519 - Sh:299
Shelah, S. (1987). Taxonomy of universal and other classes. In Proceedings of the International Congress of Mathematicians (Berkeley, Calif., 1986), Vol. 1, Amer. Math. Soc., Providence, RI, pp. 154–162. MR: 934221 - Sh:300
Shelah, S. (1987). Universal classes. In Classification theory (Chicago, IL, 1985), Vol. 1292, Springer, Berlin, pp. 264–418. DOI: 10.1007/BFb0082242 MR: 1033033 - Sh:301
Hodges, W., & Shelah, S. (2019). Naturality and definability II. Cubo, 21(3), 9–27. arXiv: math/0102060 DOI: 10.4067/s0719-06462019000300009 MR: 4077584 - Sh:302
Grossberg, R. P., & Shelah, S. (1989). On the structure of \mathrm{Ext}_p(G,\mathbf Z). J. Algebra, 121(1), 117–128. DOI: 10.1016/0021-8693(89)90088-4 MR: 992319 - Sh:302a
Grossberg, R. P., & Shelah, S. (1998). On cardinalities in quotients of inverse limits of groups. Math. Japon., 47(2), 189–197. arXiv: math/9911225 MR: 1615081 - Sh:303
Komjáth, P., & Shelah, S. (1988). Forcing constructions for uncountably chromatic graphs. J. Symbolic Logic, 53(3), 696–707. DOI: 10.2307/2274566 MR: 960993 - Sh:304
Shelah, S., & Spencer, J. H. (1988). Zero-one laws for sparse random graphs. J. Amer. Math. Soc., 1(1), 97–115. DOI: 10.2307/1990968 MR: 924703 - Sh:305
Shelah, S., & Thomas, S. (1989). Subgroups of small index in infinite symmetric groups. II. J. Symbolic Logic, 54(1), 95–99. DOI: 10.2307/2275018 MR: 987325 - Sh:306
Mekler, A. H., & Shelah, S. (1990). Determining abelian p-groups from their n-socles. Comm. Algebra, 18(2), 287–307. DOI: 10.1080/00927879008823915 MR: 1047311 - Sh:307
Buechler, S., & Shelah, S. (1989). On the existence of regular types. Ann. Pure Appl. Logic, 45(3), 277–308. DOI: 10.1016/0168-0072(89)90039-0 MR: 1032833 - Sh:308
Judah, H. I., & Shelah, S. (1990). The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing). J. Symbolic Logic, 55(3), 909–927. DOI: 10.2307/2274464 MR: 1071305 - Sh:310
Gitik, M., & Shelah, S. (1999). Cardinal preserving ideals. J. Symbolic Logic, 64(4), 1527–1551. arXiv: math/9605234 DOI: 10.2307/2586794 MR: 1780068 - Sh:312
Shelah, S. (2017). Existentially closed locally finite groups (Sh312). In Beyond first order model theory, CRC Press, Boca Raton, FL, pp. 221–298. arXiv: 1102.5578 MR: 3729328 - Sh:313
Mekler, A. H., & Shelah, S. (1988). Diamond and \lambda-systems. Fund. Math., 131(1), 45–51. DOI: 10.4064/fm-131-1-45-51 MR: 970913 - Sh:314
Mekler, A. H., Rosłanowski, A., & Shelah, S. (1999). On the p-rank of Ext. Israel J. Math., 112, 327–356. arXiv: math/9806165 DOI: 10.1007/BF02773487 MR: 1714978 - Sh:315
Shelah, S., & Steprāns, J. (1988). PFA implies all automorphisms are trivial. Proc. Amer. Math. Soc., 104(4), 1220–1225. DOI: 10.2307/2047617 MR: 935111 - Sh:316
Fuchs, L., & Shelah, S. (1989). Kaplansky’s problem on valuation rings. Proc. Amer. Math. Soc., 105(1), 25–30. DOI: 10.2307/2046728 MR: 929431 - Sh:317
Becker, T., Fuchs, L., & Shelah, S. (1989). Whitehead modules over domains. Forum Math., 1(1), 53–68. DOI: 10.1515/form.1989.1.53 MR: 978975 - Sh:318
Macpherson, D., Mekler, A. H., & Shelah, S. (1991). The number of infinite substructures. Math. Proc. Cambridge Philos. Soc., 109(1), 193–209. DOI: 10.1017/S0305004100069668 MR: 1075131 - Sh:319
Judah, H. I., & Shelah, S. (1989). Martin’s axioms, measurability and equiconsistency results. J. Symbolic Logic, 54(1), 78–94. DOI: 10.2307/2275017 MR: 987324 - Sh:320
Juhász, I., Shelah, S., & Soukup, L. (1988). More on countably compact, locally countable spaces. Israel J. Math., 62(3), 302–310. DOI: 10.1007/BF02783299 MR: 955134 - Sh:321
Judah, H. I., & Shelah, S. (1989). \Delta^1_2-sets of reals. Ann. Pure Appl. Logic, 42(3), 207–223. DOI: 10.1016/0168-0072(89)90016-X MR: 998607 - Sh:323
Hart, B. T., & Shelah, S. (1990). Categoricity over P for first order T or categoricity for \phi\in\mathcal L_{\omega_1\omega} can stop at \aleph_k while holding for \aleph_0,\cdots,\aleph_{k-1}. Israel J. Math., 70(2), 219–235. arXiv: math/9201240 DOI: 10.1007/BF02807869 MR: 1070267 - Sh:324
Magidor, M., & Shelah, S. (1996). The tree property at successors of singular cardinals. Arch. Math. Logic, 35(5-6), 385–404. arXiv: math/9501220 DOI: 10.1007/s001530050052 MR: 1420265 - Sh:325
Dugas, M. H., & Shelah, S. (1989). E-transitive groups in L. In Abelian group theory (Perth, 1987), Vol. 87, Amer. Math. Soc., Providence, RI, pp. 191–199. DOI: 10.1090/conm/087/995276 MR: 995276 - Sh:326
Shelah, S. (1992). Vive la différence. I. Nonisomorphism of ultrapowers of countable models. In Set theory of the continuum (Berkeley, CA, 1989), Vol. 26, Springer, New York, pp. 357–405. arXiv: math/9201245 DOI: 10.1007/978-1-4613-9754-0_20 MR: 1233826
See [Sh:326a] - Sh:327
Shelah, S. (1991). Strong negative partition relations below the continuum. Acta Math. Hungar., 58(1-2), 95–100. DOI: 10.1007/BF01903551 MR: 1152830 - Sh:328
Shelah, S., & Thomas, S. (1988). Implausible subgroups of infinite symmetric groups. Bull. London Math. Soc., 20(4), 313–318. DOI: 10.1112/blms/20.4.313 MR: 940283 - Sh:329
Shelah, S. (1988). Primitive recursive bounds for van der Waerden numbers. J. Amer. Math. Soc., 1(3), 683–697. DOI: 10.2307/1990952 MR: 929498 - Sh:330
Baldwin, J. T., & Shelah, S. (1990). The primal framework. I. Ann. Pure Appl. Logic, 46(3), 235–264. arXiv: math/9201241 DOI: 10.1016/0168-0072(90)90005-M MR: 1049388 - Sh:332
Gurevich, Y., & Shelah, S. (1988). Nondeterministic Linear Tasks May Require Substantially Nonlinear Deterministic Time in the Case of Sublinear Work Space. In Proceedings of the Twentieth Annual ACM Symposium on Theory of Computing, New York, NY, USA: ACM, pp. 281–289. DOI: 10.1145/62212.62239 - Sh:332a
Gurevich, Y., & Shelah, S. (1990). Nondeterministic linear-time tasks may require substantially nonlinear deterministic time in the case of sublinear work space. J. Assoc. Comput. Mach., 37(3), 674–687. DOI: 10.1145/79147.214070 MR: 1072274 - Sh:334
Hrushovski, E., & Shelah, S. (1991). Stability and omitting types. Israel J. Math., 74(2-3), 289–321. DOI: 10.1007/BF02775793 MR: 1135241 - Sh:335
Judah, H. I., & Shelah, S. (1989). MA(\sigma-centered): Cohen reals, strong measure zero sets and strongly meager sets. Israel J. Math., 68(1), 1–17. DOI: 10.1007/BF02764965 MR: 1035877 - Sh:336
Judah, H. I., & Shelah, S. (1991). Q-sets, Sierpiński sets, and rapid filters. Proc. Amer. Math. Soc., 111(3), 821–832. DOI: 10.2307/2048420 MR: 1045594 - Sh:337
Judah, H. I., & Shelah, S. (1993). \boldsymbol{\Delta}^1_3-sets of reals. J. Symbolic Logic, 58(1), 72–80. DOI: 10.2307/2275325 MR: 1217177 - Sh:338
Judah, H. I., & Shelah, S. (1991). Forcing minimal degree of constructibility. J. Symbolic Logic, 56(3), 769–782. DOI: 10.2307/2275046 MR: 1129141 - Sh:339
Judah, H. I., Shelah, S., & Woodin, W. H. (1990). The Borel conjecture. Ann. Pure Appl. Logic, 50(3), 255–269. NB: A correction of the third section has appeared in 8.3.B of [Bartoszyński, Judah: Set theory. ISBN 1-56881-044-X] DOI: 10.1016/0168-0072(90)90058-A MR: 1086456 - Sh:340
Shelah, S., & Stanley, L. J. (1995). A combinatorial forcing for coding the universe by a real when there are no sharps. J. Symbolic Logic, 60(1), 1–35. arXiv: math/9311204 DOI: 10.2307/2275507 MR: 1324499 - Sh:341
Juhász, I., & Shelah, S. (1989). \pi (X)=\delta(X) for compact X. Topology Appl., 32(3), 289–294. NB: Proof in local case is a mistake DOI: 10.1016/0166-8641(89)90035-7 MR: 1007107 - Sh:342
Hrushovski, E., & Shelah, S. (1989). A dichotomy theorem for regular types. Ann. Pure Appl. Logic, 45(2), 157–169. DOI: 10.1016/0168-0072(89)90059-6 MR: 1044122 - Sh:343
Gurevich, Y., & Shelah, S. (1989). Time polynomial in input or output. J. Symbolic Logic, 54(3), 1083–1088. DOI: 10.2307/2274767 MR: 1011194 - Sh:344
Gitik, M., & Shelah, S. (1989). On certain indestructibility of strong cardinals and a question of Hajnal. Arch. Math. Logic, 28(1), 35–42. DOI: 10.1007/BF01624081 MR: 987765 - Sh:345
Shelah, S. (1990). Products of regular cardinals and cardinal invariants of products of Boolean algebras. Israel J. Math., 70(2), 129–187. DOI: 10.1007/BF02807866 MR: 1070264 - Sh:346
Komjáth, P., & Shelah, S. (1996). On Taylor’s problem. Acta Math. Hungar., 70(3), 217–225. arXiv: math/9402213 DOI: 10.1007/BF02188208 MR: 1374388 - Sh:347
Shelah, S. (1990). Incompactness for chromatic numbers of graphs. In A tribute to Paul Erdős, Cambridge Univ. Press, Cambridge, pp. 361–371. MR: 1117029 - Sh:348
Bartoszyński, T., Judah, H. I., & Shelah, S. (1989). The cofinality of cardinal invariants related to measure and category. J. Symbolic Logic, 54(3), 719–726. DOI: 10.2307/2274736 MR: 1011163 - Sh:349
Shelah, S. (1989). A consistent counterexample in the theory of collectionwise Hausdorff spaces. Israel J. Math., 65(2), 219–224. DOI: 10.1007/BF02764862 MR: 998672 - Sh:350
Dror Farjoun, E., Orr, K. E., & Shelah, S. (1989). Bousfield localization as an algebraic closure of groups. Israel J. Math., 66(1-3), 143–153. DOI: 10.1007/BF02765889 MR: 1017158 - Sh:351
Shelah, S. (1991). Reflecting stationary sets and successors of singular cardinals. Arch. Math. Logic, 31(1), 25–53. DOI: 10.1007/BF01370693 MR: 1126352 - Sh:352
Eklof, P. C., Fuchs, L., & Shelah, S. (1990). Baer modules over domains. Trans. Amer. Math. Soc., 322(2), 547–560. DOI: 10.2307/2001714 MR: 974514 - Sh:353
Shelah, S., & Steprāns, J. (1994). Homogeneous almost disjoint families. Algebra Universalis, 31(2), 196–203. DOI: 10.1007/BF01236517 MR: 1259349 - Sh:354
Perles, M. A., & Shelah, S. (1990). A closed (n+1)-convex set in \mathbf R^2 is a union of n^6 convex sets. Israel J. Math., 70(3), 305–312. DOI: 10.1007/BF02801466 MR: 1074494 - Sh:356
Milner, E. C., & Shelah, S. (1990). Graphs with no unfriendly partitions. In A tribute to Paul Erdős, Cambridge Univ. Press, Cambridge, pp. 373–384. DOI: 10.1017/cbo9780511983917.031 MR: 1117030 - Sh:357
Gitik, M., & Shelah, S. (1989). Forcings with ideals and simple forcing notions. Israel J. Math., 68(2), 129–160. DOI: 10.1007/BF02772658 MR: 1035887 - Sh:358
Judah, H. I., & Shelah, S. (1990). Around random algebra. Arch. Math. Logic, 30(3), 129–138. DOI: 10.1007/BF01621466 MR: 1080233 - Sh:359
Bonnet, R., & Shelah, S. (1993). On HCO spaces. An uncountable compact T_2 space, different from \aleph_1+1, which is homeomorphic to each of its uncountable closed subspaces. Israel J. Math., 84(3), 289–332. DOI: 10.1007/BF02760945 MR: 1244672 - Sh:360
Baldwin, J. T., & Shelah, S. (1991). The primal framework. II. Smoothness. Ann. Pure Appl. Logic, 55(1), 1–34. arXiv: math/9201246 DOI: 10.1016/0168-0072(91)90095-4 MR: 1134914
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Hyttinen, T., & Shelah, S. (1999). Constructing strongly equivalent nonisomorphic models for unsuperstable theories. Part C. J. Symbolic Logic, 64(2), 634–642. arXiv: math/9709229 DOI: 10.2307/2586489 MR: 1777775 - Sh:603
Shelah, S. (2002). Few non minimal types on non structure. In In the Scope of Logic, Methodology and Philosophy of Science . Volume One of the 11th International Congress of Logic, Methodology and Philosophy of Science, Cracow, August 1999, Vol. 1, Springer Netherlands, pp. 29–53. arXiv: math/9906023 - Sh:604
Shelah, S. (2005). The pair (\aleph_n,\aleph_0) may fail \aleph_0-compactness. In Logic Colloquium ’01, Vol. 20, Assoc. Symbol. Logic, Urbana, IL, pp. 402–433. arXiv: math/0404240 MR: 2143906 - Sh:605
Shelah, S., & Truss, J. K. (1999). On distinguishing quotients of symmetric groups. Ann. Pure Appl. Logic, 97(1-3), 47–83. arXiv: math/9805147 DOI: 10.1016/S0168-0072(98)00023-2 MR: 1682068 - Sh:606
Shelah, S. (1999). On T_3-topological space omitting many cardinals. Period. Math. Hungar., 38(1-2), 87–98. arXiv: math/9811177 DOI: 10.1023/A:1004707417470 MR: 1721480 - Sh:607
Bartoszyński, T., & Shelah, S. (2001). Strongly meager sets do not form an ideal. J. Math. Log., 1(1), 1–34. arXiv: math/9805148 DOI: 10.1142/S0219061301000028 MR: 1838340 - Sh:608
Shelah, S., & Stanley, L. J. (2001). Forcing many positive polarized partition relations between a cardinal and its powerset. J. Symbolic Logic, 66(3), 1359–1370. arXiv: math/9710216 DOI: 10.2307/2695112 MR: 1856747 - Sh:609
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Shelah, S., & Zapletal, J. (1999). Canonical models for \aleph_1-combinatorics. Ann. Pure Appl. Logic, 98(1-3), 217–259. arXiv: math/9806166 DOI: 10.1016/S0168-0072(98)00022-0 MR: 1696852 - Sh:611
Rosen, E., Shelah, S., & Weinstein, S. (1997). k-universal finite graphs. In Logic and random structures (New Brunswick, NJ, 1995), Vol. 33, Amer. Math. Soc., Providence, RI, pp. 65–77. arXiv: math/9604244 MR: 1465469 - Sh:612
Juhász, I., & Shelah, S. (1998). On the cardinality and weight spectra of compact spaces. II. Fund. Math., 155(1), 91–94. arXiv: math/9703220 MR: 1487990 - Sh:613
Jin, R., & Shelah, S. (1998). Compactness of Loeb spaces. J. Symbolic Logic, 63(4), 1371–1392. arXiv: math/9604211 DOI: 10.2307/2586655 MR: 1665731 - Sh:614
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Kuhlmann, F.-V., Kuhlmann, S., & Shelah, S. (2003). Functorial equations for lexicographic products. Proc. Amer. Math. Soc., 131(10), 2969–2976. arXiv: math/0107206 DOI: 10.1090/S0002-9939-03-06830-8 MR: 1993201 - Sh:616
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Eklof, P. C., Huisgen-Zimmermann, B., & Shelah, S. (1997). Torsion modules, lattices and p-points. Bull. London Math. Soc., 29(5), 547–555. arXiv: math/9703221 DOI: 10.1112/S0024609397003329 MR: 1458714 - Sh:618
Hamkins, J. D., & Shelah, S. (1998). Superdestructibility: a dual to Laver’s indestructibility. J. Symbolic Logic, 63(2), 549–554. arXiv: math/9612227 DOI: 10.2307/2586848 MR: 1625927 - Sh:619
Shelah, S. (2003). The null ideal restricted to some non-null set may be \aleph_1-saturated. Fund. Math., 179(2), 97–129. arXiv: math/9705213 DOI: 10.4064/fm179-2-1 MR: 2029228 - Sh:620
Shelah, S. (1999). Special subsets of ^{\mathrm{cf}(\mu)}\mu, Boolean algebras and Maharam measure algebras. Topology Appl., 99(2-3), 135–235. arXiv: math/9804156 DOI: 10.1016/S0166-8641(99)00138-8 MR: 1728851 - Sh:621
Eklof, P. C., & Shelah, S. (2001). A non-reflexive Whitehead group. J. Pure Appl. Algebra, 156(2-3), 199–214. arXiv: math/9908157 DOI: 10.1016/S0022-4049(99)00152-8 MR: 1808823 - Sh:622
Shelah, S. (2001). Non-existence of universal members in classes of abelian groups. J. Group Theory, 4(2), 169–191. arXiv: math/9808139 DOI: 10.1515/jgth.2001.014 MR: 1812323 - Sh:623
Baldwin, J. T., & Shelah, S. (2000). On the classifiability of cellular automata. Theoret. Comput. Sci., 230(1-2), 117–129. arXiv: math/9801152 DOI: 10.1016/S0304-3975(99)00042-0 MR: 1725633 - Sh:624
Shelah, S. (1999). On full Suslin trees. Colloq. Math., 79(1), 1–7. arXiv: math/9608215 DOI: 10.4064/cm-79-1-1-7 MR: 1665618 - Sh:625
Eklof, P. C., & Shelah, S. (1998). The Kaplansky test problems for \aleph_1-separable groups. Proc. Amer. Math. Soc., 126(7), 1901–1907. arXiv: math/9709230 DOI: 10.1090/S0002-9939-98-04749-2 MR: 1485469 - Sh:626
Jin, R., & Shelah, S. (1999). Possible size of an ultrapower of \omega. Arch. Math. Logic, 38(1), 61–77. arXiv: math/9801153 DOI: 10.1007/s001530050115 MR: 1667288 - Sh:627
Shelah, S. (1998). Erdős and Rényi conjecture. J. Combin. Theory Ser. A, 82(2), 179–185. arXiv: math/9707226 DOI: 10.1006/jcta.1997.2845 MR: 1620869 - Sh:628
Rosłanowski, A., & Shelah, S. (1997). Norms on possibilities. II. More ccc ideals on 2^\omega. J. Appl. Anal., 3(1), 103–127. arXiv: math/9703222 DOI: 10.1515/JAA.1997.103 MR: 1618851 - Sh:629
Hyttinen, T., & Shelah, S. (2000). Strong splitting in stable homogeneous models. Ann. Pure Appl. Logic, 103(1-3), 201–228. arXiv: math/9911229 DOI: 10.1016/S0168-0072(99)00044-5 MR: 1756146 - Sh:630
Shelah, S. (2004). Properness without elementaricity. J. Appl. Anal., 10(2), 169–289. arXiv: math/9712283 DOI: 10.1515/JAA.2004.169 MR: 2115943 - Sh:631
Rabus, M., & Shelah, S. (1999). Topological density of ccc Boolean algebras—every cardinality occurs. Proc. Amer. Math. Soc., 127(9), 2573–2581. arXiv: math/9709231 DOI: 10.1090/S0002-9939-99-04813-3 MR: 1486748 - Sh:632
Hyttinen, T., & Shelah, S. (1998). On the number of elementary submodels of an unsuperstable homogeneous structure. MLQ Math. Log. Q., 44(3), 354–358. arXiv: math/9702228 DOI: 10.1002/malq.19980440307 MR: 1645490 - Sh:633
Goldstern, M., & Shelah, S. (1998). Order polynomially complete lattices must be large. Algebra Universalis, 39(3-4), 197–209. arXiv: math/9707203 DOI: 10.1007/s000120050075 MR: 1636999 - Sh:634
Shelah, S. (2000). Choiceless Polynomial Time Logic: Inability to express. In P. G. Clote & H. Schwichtenberg, eds., Computer Science Logic, 14th International Workshop, CSL 2000, Annual Conference of the EACSL, Fischbachau, Germany, August 21–26, 2000, Proceedings, Vol. 1862, Springer, pp. 72–125. arXiv: math/9807179 - Sh:635
Shelah, S., & Villaveces, A. (1999). Toward categoricity for classes with no maximal models. Ann. Pure Appl. Logic, 97(1-3), 1–25. arXiv: math/9707227 DOI: 10.1016/S0168-0072(98)00015-3 MR: 1682066 - Sh:636
Shelah, S. (1998). The lifting problem with the full ideal. J. Appl. Anal., 4(1), 1–17. arXiv: math/9712284 DOI: 10.1515/JAA.1998.1 MR: 1648938 - Sh:638
Shelah, S. (2021). More on weak diamond. Acta Math. Hungar., 165(1), 1–27. arXiv: math/9807180 DOI: 10.1007/s10474-021-01182-2 MR: 4323582 - Sh:639
Shelah, S. (2000). On quantification with a finite universe. J. Symbolic Logic, 65(3), 1055–1075. arXiv: math/9809201 DOI: 10.2307/2586688 MR: 1791364 - Sh:640
Błaszczyk, A., & Shelah, S. (2001). Regular subalgebras of complete Boolean algebras. J. Symbolic Logic, 66(2), 792–800. arXiv: math/9712285 DOI: 10.2307/2695044 MR: 1833478 - Sh:641
Shelah, S. (2001). Constructing Boolean algebras for cardinal invariants. Algebra Universalis, 45(4), 353–373. arXiv: math/9712286 DOI: 10.1007/s000120050219 MR: 1816973 - Sh:642
Brendle, J., & Shelah, S. (1999). Ultrafilters on \omega—their ideals and their cardinal characteristics. Trans. Amer. Math. Soc., 351(7), 2643–2674. arXiv: math/9710217 DOI: 10.1090/S0002-9947-99-02257-6 MR: 1686797 - Sh:643
Shelah, S., & Spasojević, Z. (2002). Cardinal invariants \mathfrak b_\kappa and \mathfrak t_\kappa. Publ. Inst. Math. (Beograd) (N.S.), 72(86), 1–9. arXiv: math/0003141 DOI: 10.2298/PIM0272001S MR: 1997605 - Sh:644
Shelah, S., & Väisänen, P. (2000). On inverse \gamma-systems and the number of L_{\infty\lambda}-equivalent, non-isomorphic models for \lambda singular. J. Symbolic Logic, 65(1), 272–284. arXiv: math/9807181 DOI: 10.2307/2586536 MR: 1782119 - Sh:645
Komjáth, P., & Shelah, S. (2000). Two consistency results on set mappings. J. Symbolic Logic, 65(1), 333–338. arXiv: math/9807182 DOI: 10.2307/2586540 MR: 1782123 - Sh:646
Shelah, S., & Väisänen, P. (2001). On the number of L_{\infty\omega_1}-equivalent non-isomorphic models. Trans. Amer. Math. Soc., 353(5), 1781–1817. arXiv: math/9908160 DOI: 10.1090/S0002-9947-00-02604-0 MR: 1707477 - Sh:647
Göbel, R., & Shelah, S. (2000). Cotorsion theories and splitters. Trans. Amer. Math. Soc., 352(11), 5357–5379. arXiv: math/9910159 DOI: 10.1090/S0002-9947-00-02475-2 MR: 1661246 - Sh:648
Shelah, S., & Villaveces, A. (2021). The Hart-Shelah example, in stronger logics. Ann. Pure Appl. Logic, 172(6), 102958, 23. arXiv: math/0404258 DOI: 10.1016/j.apal.2021.102958 MR: 4216281 - Sh:649
Kojman, M., & Shelah, S. (1999). Regressive Ramsey numbers are Ackermannian. J. Combin. Theory Ser. A, 86(1), 177–181. arXiv: math/9805150 DOI: 10.1006/jcta.1998.2906 MR: 1682971 - Sh:650
Göbel, R., & Shelah, S. (2004). Uniquely transitive torsion-free abelian groups. In Rings, modules, algebras, and abelian groups, Vol. 236, Dekker, New York, pp. 271–290. arXiv: math/0404259 MR: 2050717 - Sh:651
Rosłanowski, A., & Shelah, S. (2001). Forcing for hL and hd. Colloq. Math., 88(2), 273–310. arXiv: math/9808104 DOI: 10.4064/cm88-2-9 MR: 1852911 - Sh:652
Shelah, S. (2002). More constructions for Boolean algebras. Arch. Math. Logic, 41(5), 401–441. arXiv: math/9605235 DOI: 10.1007/s001530100099 MR: 1918108 - Sh:653
Ciesielski, K. C., & Shelah, S. (1999). A model with no magic set. J. Symbolic Logic, 64(4), 1467–1490. arXiv: math/9801154 DOI: 10.2307/2586790 MR: 1780064 - Sh:654
Just, W., Shelah, S., & Thomas, S. (1999). The automorphism tower problem revisited. Adv. Math., 148(2), 243–265. arXiv: math/0003120 DOI: 10.1006/aima.1999.1852 MR: 1736959 - Sh:655
Rosłanowski, A., & Shelah, S. (2001). Iteration of \lambda-complete forcing notions not collapsing \lambda^+. Int. J. Math. Math. Sci., 28(2), 63–82. arXiv: math/9906024 DOI: 10.1155/S016117120102018X MR: 1885053 - Sh:657
Shelah, S., & Väänänen, J. A. (2000). Stationary sets and infinitary logic. J. Symbolic Logic, 65(3), 1311–1320. arXiv: math/9706225 DOI: 10.2307/2586701 MR: 1791377 - Sh:658
Bartoszyński, T., & Shelah, S. (2002). Strongly meager and strong measure zero sets. Arch. Math. Logic, 41(3), 245–250. arXiv: math/9907137 DOI: 10.1007/s001530000068 MR: 1901186 - Sh:659
Džamonja, M., & Shelah, S. (2003). Universal graphs at the successor of a singular cardinal. J. Symbolic Logic, 68(2), 366–388. arXiv: math/0102043 DOI: 10.2178/jsl/1052669056 MR: 1976583 - Sh:660
Shelah, S. Covering numbers associated with trees branching into a countably generated set of possibilities. Real Anal. Exchange, 24(1), 205–213. arXiv: math/9711223 MR: 1691746 - Sh:661
Kolman, O., & Shelah, S. (1998). A result related to the problem CN of Fremlin. J. Appl. Anal., 4(2), 161–165. arXiv: math/9712287 DOI: 10.1515/JAA.1998.161 MR: 1667030 - Sh:662
Halko, A., & Shelah, S. (2001). On strong measure zero subsets of ^\kappa2. Fund. Math., 170(3), 219–229. arXiv: math/9710218 DOI: 10.4064/fm170-3-1 MR: 1880900 - Sh:663
Shelah, S., & Spinas, O. (1999). On tightness and depth in superatomic Boolean algebras. Proc. Amer. Math. Soc., 127(12), 3475–3480. arXiv: math/9802135 DOI: 10.1090/S0002-9939-99-04944-8 MR: 1610793 - Sh:664
Shelah, S. (2001). Strong dichotomy of cardinality. Results Math., 39(1-2), 131–154. arXiv: math/9807183 DOI: 10.1007/BF03322680 MR: 1817405 - Sh:665
Shelah, S., & Steprāns, J. (2001). The covering numbers of Mycielski ideals are all equal. J. Symbolic Logic, 66(2), 707–718. arXiv: math/9712288 DOI: 10.2307/2695039 MR: 1833473 - Sh:666
Shelah, S. (2000). On what I do not understand (and have something to say). I. Fund. Math., 166(1-2), 1–82. arXiv: math/9906113 MR: 1804704 - Sh:667
Shelah, S. (2003). Successor of singulars: combinatorics and not collapsing cardinals \le\kappa in (<\kappa)-support iterations. Israel J. Math., 134, 127–155. arXiv: math/9808140 DOI: 10.1007/BF02787405 MR: 1972177 - Sh:668
Shelah, S. (2004). Anti-homogeneous partitions of a topological space. Sci. Math. Jpn., 59(2), 203–255. arXiv: math/9906025 MR: 2062196 - Sh:669
Shelah, S. (2006). Non-Cohen oracle C.C.C. J. Appl. Anal., 12(1), 1–17. arXiv: math/0303294 DOI: 10.1515/JAA.2006.1 MR: 2243849 - Sh:671
Jech, T. J., & Shelah, S. (2000). On reflection of stationary sets in \mathcal P_\kappa\lambda. Trans. Amer. Math. Soc., 352(6), 2507–2515. arXiv: math/9801078 DOI: 10.1090/S0002-9947-99-02448-4 MR: 1650097 - Sh:672
Rosłanowski, A., & Shelah, S. (2004). Sweet & sour and other flavours of ccc forcing notions. Arch. Math. Logic, 43(5), 583–663. arXiv: math/9909115 DOI: 10.1007/s00153-004-0213-7 MR: 2076408 - Sh:673
Kojman, M., & Shelah, S. (2000). The PCF trichotomy theorem does not hold for short sequences. Arch. Math. Logic, 39(3), 213–218. arXiv: math/9712289 DOI: 10.1007/s001530050143 MR: 1758508 - Sh:674
Balogh, Z. T., Davis, S. W., Just, W., Shelah, S., & Szeptycki, P. J. (2000). Strongly almost disjoint sets and weakly uniform bases. Trans. Amer. Math. Soc., 352(11), 4971–4987. arXiv: math/9803167 DOI: 10.1090/S0002-9947-00-02599-X MR: 1707497 - Sh:675
Shelah, S. (1997). On Ciesielski’s problems. J. Appl. Anal., 3(2), 191–209. arXiv: math/9801155 DOI: 10.1515/JAA.1997.191 MR: 1619548 - Sh:676
Hyttinen, T., & Shelah, S. (2001). Main gap for locally saturated elementary submodels of a homogeneous structure. J. Symbolic Logic, 66(3), 1286–1302. arXiv: math/9804157 DOI: 10.2307/2695107 MR: 1856742 - Sh:677
Shelah, S., & Spinas, O. (2000). On incomparability and related cardinal functions on ultraproducts of Boolean algebras. Math. Japon., 52(3), 345–358. arXiv: math/9903116 MR: 1796651 - Sh:678
Eklof, P. C., & Shelah, S. (1999). Absolutely rigid systems and absolutely indecomposable groups. In Abelian groups and modules (Dublin, 1998), Birkhäuser, Basel, pp. 257–268. arXiv: math/0010264 MR: 1735574 - Sh:679
Shelah, S. (2002). A partition theorem. Sci. Math. Jpn., 56(2), 413–438. arXiv: math/0003163 MR: 1922806 - Sh:680
Ciesielski, K. C., & Shelah, S. Uniformly antisymmetric functions with bounded range. Real Anal. Exchange, 24(2), 615–619. arXiv: math/9805151 MR: 1704738 - Sh:681
Göbel, R., Shelah, S., & Strüngmann, L. H. (2004). Generalized E-rings. In Rings, modules, algebras, and abelian groups, Vol. 236, Dekker, New York, pp. 291–306. arXiv: math/0404271 MR: 2050718 - Sh:682
Göbel, R., & Shelah, S. (1999). Almost free splitters. Colloq. Math., 81(2), 193–221. arXiv: math/9910161 DOI: 10.4064/cm-81-2-193-221 MR: 1715347
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Kolman, O., & Shelah, S. (1999). Almost disjoint pure subgroups of the Baer-Specker group. In Abelian groups and modules (Dublin, 1998), Birkhäuser, Basel, pp. 225–230. arXiv: math/0102057 MR: 1735570 - Sh:684
Mildenberger, H., & Shelah, S. (2000). Changing cardinal characteristics without changing \omega-sequences or confinalities. Ann. Pure Appl. Logic, 106(1-3), 207–261. arXiv: math/9901096 DOI: 10.1016/S0168-0072(00)00026-9 MR: 1785760 - Sh:685
Džamonja, M., & Shelah, S. (2000). On versions of \clubsuit on cardinals larger than \aleph_1. Math. Japon., 51(1), 53–61. arXiv: math/9911228 MR: 1739051 - Sh:686
Rosłanowski, A., & Shelah, S. (2001). The yellow cake. Proc. Amer. Math. Soc., 129(1), 279–291. arXiv: math/9810179 DOI: 10.1090/S0002-9939-00-05538-6 MR: 1694876 - Sh:687
Laskowski, M. C., & Shelah, S. (2003). Karp complexity and classes with the independence property. Ann. Pure Appl. Logic, 120(1-3), 263–283. arXiv: math/0303345 DOI: 10.1016/S0168-0072(02)00080-5 MR: 1949710 - Sh:688
Goldstern, M., & Shelah, S. (1999). There are no infinite order polynomially complete lattices, after all. Algebra Universalis, 42(1-2), 49–57. arXiv: math/9810050 DOI: 10.1007/s000120050122 MR: 1736340 - Sh:689
Cherlin, G. L., Shelah, S., & Shi, N. (1999). Universal graphs with forbidden subgraphs and algebraic closure. Adv. In Appl. Math., 22(4), 454–491. arXiv: math/9809202 DOI: 10.1006/aama.1998.0641 MR: 1683298 - Sh:690
Eisworth, T., Nyikos, P. J., & Shelah, S. (2003). Gently killing S-spaces. Israel J. Math., 136, 189–220. arXiv: math/9812133 DOI: 10.1007/BF02807198 MR: 1998110 - Sh:691
Džamonja, M., & Shelah, S. (2003). Weak reflection at the successor of a singular cardinal. J. London Math. Soc. (2), 67(1), 1–15. arXiv: math/0003118 DOI: 10.1112/S0024610702003757 MR: 1942407
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Džamonja, M., & Shelah, S. (2004). On \vartriangleleft^*-maximality. Ann. Pure Appl. Logic, 125(1-3), 119–158. arXiv: math/0009087 DOI: 10.1016/j.apal.2003.11.001 MR: 2033421 - Sh:693
Shelah, S., & Trlifaj, J. (2001). Spectra of the \Gamma-invariant of uniform modules. J. Pure Appl. Algebra, 162(2-3), 367–379. arXiv: math/0009060 DOI: 10.1016/S0022-4049(00)00118-3 MR: 1843814 - Sh:694
Jech, T. J., & Shelah, S. (2001). Simple complete Boolean algebras. Proc. Amer. Math. Soc., 129(2), 543–549. arXiv: math/0406438 DOI: 10.1090/S0002-9939-00-05566-0 MR: 1707521 - Sh:695
Ciesielski, K. C., & Shelah, S. (2000). Category analogue of sup-measurability problem. J. Appl. Anal., 6(2), 159–172. arXiv: math/9905147 DOI: 10.1515/JAA.2000.159 MR: 1805097 - Sh:696
Goldstern, M., & Shelah, S. (2002). Antichains in products of linear orders. Order, 19(3), 213–222. arXiv: math/9902054 DOI: 10.1023/A:1021289412771 MR: 1942184 - Sh:697
Hajnal, A., Juhász, I., & Shelah, S. (2000). Strongly almost disjoint families, revisited. Fund. Math., 163(1), 13–23. arXiv: math/9812114 MR: 1750332 - Sh:698
Shelah, S. (2002). On the existence of large subsets of [\lambda]^{<\kappa} which contain no unbounded non-stationary subsets. Arch. Math. Logic, 41(3), 207–213. arXiv: math/9908159 DOI: 10.1007/s001530000054 MR: 1901184 - Sh:699
Halbeisen, L. J., & Shelah, S. (2001). Relations between some cardinals in the absence of the axiom of choice. Bull. Symbolic Logic, 7(2), 237–261. arXiv: math/0010268 DOI: 10.2307/2687776 MR: 1839547 - Sh:700
Shelah, S. (2004). Two cardinal invariants of the continuum (\mathfrak d<\mathfrak a) and FS linearly ordered iterated forcing. Acta Math., 192(2), 187–223. Previous title “Are \mathfrak a and \mathfrak d your cup of tea?” arXiv: math/0012170 DOI: 10.1007/BF02392740 MR: 2096454
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Göbel, R., Rodrı́guez Blancas, J. L., & Shelah, S. (2002). Large localizations of finite simple groups. J. Reine Angew. Math., 550, 1–24. arXiv: math/9912191 DOI: 10.1515/crll.2002.072 MR: 1925906 - Sh:702
Shelah, S. (2000). On what I do not understand (and have something to say), model theory. Math. Japon., 51(2), 329–377. arXiv: math/9910158 MR: 1747306 - Sh:703
Shelah, S. (2003). On ultraproducts of Boolean algebras and irr. Arch. Math. Logic, 42(6), 569–581. arXiv: math/0012171 DOI: 10.1007/s00153-002-0167-6 MR: 2001060 - Sh:704
Shelah, S. (2002). Superatomic Boolean algebras: maximal rigidity. In Set theory (Piscataway, NJ, 1999), Vol. 58, Amer. Math. Soc., Providence, RI, pp. 107–128. arXiv: math/0009075 DOI: 10.1090/dimacs/058/09 MR: 1903854 - Sh:706
Shelah, S. (2012). Universality among graphs omitting a complete bipartite graph. Combinatorica, 32(3), 325–362. arXiv: math/0102058 DOI: 10.1007/s00493-012-2033-4 MR: 2965281 - Sh:708
Gitik, M., & Shelah, S. (2001). On some configurations related to the Shelah weak hypothesis. Arch. Math. Logic, 40(8), 639–650. arXiv: math/9909087 DOI: 10.1007/s001530100076 MR: 1867686 - Sh:709
Kolman, O., & Shelah, S. (2000). Infinitary axiomatizability of slender and cotorsion-free groups. Bull. Belg. Math. Soc. Simon Stevin, 7(4), 623–629. arXiv: math/9910162 http://projecteuclid.org/euclid.bbms/1103055621 MR: 1806941 - Sh:710
Džamonja, M., & Shelah, S. (2006). On properties of theories which preclude the existence of universal models. Ann. Pure Appl. Logic, 139(1-3), 280–302. arXiv: math/0009078 DOI: 10.1016/j.apal.2005.06.001 MR: 2206258 - Sh:711
Shelah, S. (2005). On nicely definable forcing notions. J. Appl. Anal., 11(1), 1–17. arXiv: math/0303293 DOI: 10.1515/JAA.2005.1 MR: 2151390 - Sh:712
Fuchino, S., Geschke, S., Shelah, S., & Soukup, L. (2001). On the weak Freese-Nation property of complete Boolean algebras. Ann. Pure Appl. Logic, 110(1-3), 89–105. arXiv: math/9911230 DOI: 10.1016/S0168-0072(01)00023-9 MR: 1846760 - Sh:713
Matet, P., Péan, C., & Shelah, S. (2016). Cofinality of normal ideals on [\lambda]^{<\kappa} I. Arch. Math. Logic, 55(5-6), 799–834. arXiv: math/0404318 DOI: 10.1007/s00153-016-0496-5 MR: 3523657 - Sh:714
Juhász, I., Shelah, S., Soukup, L., & Szentmiklóssy, Z. (2003). A tall space with a small bottom. Proc. Amer. Math. Soc., 131(6), 1907–1916. arXiv: math/0104198 DOI: 10.1090/S0002-9939-03-06662-0 MR: 1955280 - Sh:715
Shelah, S. (2004). Classification theory for elementary classes with the dependence property—a modest beginning. Sci. Math. Jpn., 59(2), 265–316. arXiv: math/0009056 MR: 2062198 - Sh:716
Göbel, R., & Shelah, S. (2001). Decompositions of reflexive modules. Arch. Math. (Basel), 76(3), 166–181. arXiv: math/0003165 DOI: 10.1007/s000130050557 MR: 1816987 - Sh:717
Eklof, P. C., & Shelah, S. (2002). The structure of \mathrm{Ext}(A,\mathbb Z) and GCH: possible co-Moore spaces. Math. Z., 239(1), 143–157. arXiv: math/0303344 DOI: 10.1007/s002090100288 MR: 1879333 - Sh:718
Shelah, S., & Väisänen, P. (2002). The number of L_{\infty\kappa}-equivalent nonisomorphic models for \kappa weakly compact. Fund. Math., 174(2), 97–126. arXiv: math/9911232 DOI: 10.4064/fm174-2-1 MR: 1927234 - Sh:719
Shelah, S., & Väisänen, P. (2002). On equivalence relations second order definable over H(\kappa). Fund. Math., 174(1), 1–21. arXiv: math/9911231 DOI: 10.4064/fm174-1-1 MR: 1925484 - Sh:720
Kojman, M., & Shelah, S. (2001). Fallen cardinals. Ann. Pure Appl. Logic, 109(1-2), 117–129. arXiv: math/0009079 DOI: 10.1016/S0168-0072(01)00045-8 MR: 1835242 - Sh:721
Göbel, R., Shelah, S., & Wallutis, S. L. (2001). On the lattice of cotorsion theories. J. Algebra, 238(1), 292–313. arXiv: math/0103154 DOI: 10.1006/jabr.2000.8619 MR: 1822193 - Sh:722
Bartoszyński, T., & Shelah, S. (2001). Continuous images of sets of reals. Topology Appl., 116(2), 243–253. arXiv: math/0001051 DOI: 10.1016/S0166-8641(00)00079-1 MR: 1855966 - Sh:723
Shelah, S. (2001). Consistently there is no non trivial ccc forcing notion with the Sacks or Laver property. Combinatorica, 21(2), 309–319. arXiv: math/0003139 DOI: 10.1007/s004930100027 MR: 1832454 - Sh:724
Shelah, S. (2004). On nice equivalence relations on ^\lambda 2. Arch. Math. Logic, 43(1), 31–64. arXiv: math/0009064 DOI: 10.1007/s00153-003-0183-1 MR: 2036248 - Sh:725
Mildenberger, H., & Shelah, S. (2004). On needed reals. Israel J. Math., 141, 1–37. arXiv: math/0104276 DOI: 10.1007/BF02772209 MR: 2063023 - Sh:726
Shelah, S., & Väänänen, J. A. (2005). A note on extensions of infinitary logic. Arch. Math. Logic, 44(1), 63–69. arXiv: math/0009080 DOI: 10.1007/s00153-004-0212-8 MR: 2116833 - Sh:727
Göbel, R., & Shelah, S. (2001). Reflexive subgroups of the Baer-Specker group and Martin’s axiom. In Abelian groups, rings and modules (Perth, 2000), Vol. 273, Amer. Math. Soc., Providence, RI, pp. 145–158. arXiv: math/0009062 DOI: 10.1090/conm/273/04431 MR: 1817159 - Sh:728
Kennedy, J. C., & Shelah, S. (2003). On embedding models of arithmetic of cardinality \aleph_1 into reduced powers. Fund. Math., 176(1), 17–24. arXiv: math/0105134 DOI: 10.4064/fm176-1-2 MR: 1971470 - Sh:729
Shelah, S., & Strüngmann, L. H. (2001). The failure of the uncountable non-commutative Specker phenomenon. J. Group Theory, 4(4), 417–426. arXiv: math/0009045 DOI: 10.1515/jgth.2001.031 MR: 1859179 - Sh:730
Shelah, S. (2000). A space with only Borel subsets. Period. Math. Hungar., 40(2), 81–84. arXiv: math/0009047 DOI: 10.1023/A:1010364023601 MR: 1805307 - Sh:731
Mildenberger, H., & Shelah, S. (2002). The relative consistency of \mathfrak g<\mathrm{cf}(\mathrm{Sym}(\omega)). J. Symbolic Logic, 67(1), 297–314. arXiv: math/0009077 DOI: 10.2178/jsl/1190150045 MR: 1889552 - Sh:732
Bartoszyński, T., & Shelah, S. (2002). Perfectly meager sets and universally null sets. Proc. Amer. Math. Soc., 130(12), 3701–3711. arXiv: math/0102011 DOI: 10.1090/S0002-9939-02-06465-1 MR: 1920051 - Sh:733
Rosłanowski, A., & Shelah, S. (2001). Historic forcing for depth. Colloq. Math., 89(1), 99–115. arXiv: math/0006219 DOI: 10.4064/cm89-1-7 MR: 1853418 - Sh:735
Shelah, S., & Steprāns, J. (2002). Martin’s axiom is consistent with the existence of nowhere trivial automorphisms. Proc. Amer. Math. Soc., 130(7), 2097–2106. arXiv: math/0011166 DOI: 10.1090/S0002-9939-01-06280-3 MR: 1896046 - Sh:736
Rosłanowski, A., & Shelah, S. (2006). Measured creatures. Israel J. Math., 151, 61–110. arXiv: math/0010070 DOI: 10.1007/BF02777356 MR: 2214118 - Sh:737
Goldstern, M., & Shelah, S. (2002). Clones on regular cardinals. Fund. Math., 173(1), 1–20. arXiv: math/0005273 DOI: 10.4064/fm173-1-1 MR: 1899044 - Sh:738
Göbel, R., & Shelah, S. (2003). Philip Hall’s problem on non-abelian splitters. Math. Proc. Cambridge Philos. Soc., 134(1), 23–31. arXiv: math/0009091 DOI: 10.1017/S0305004102006096 MR: 1937789 - Sh:739
Göbel, R., & Shelah, S. (2002). Constructing simple groups for localizations. Comm. Algebra, 30(2), 809–837. arXiv: math/0009089 DOI: 10.1081/AGB-120013184 MR: 1883027 - Sh:740
Göbel, R., Paras, A. T., & Shelah, S. (2002). Groups isomorphic to all their non-trivial normal subgroups. Israel J. Math., 129, 21–27. arXiv: math/0009088 DOI: 10.1007/BF02773151 MR: 1910930 - Sh:741
Göbel, R., & Shelah, S. (2002). Radicals and Plotkin’s problem concerning geometrically equivalent groups. Proc. Amer. Math. Soc., 130(3), 673–674. arXiv: math/0010303 DOI: 10.1090/S0002-9939-01-06108-1 MR: 1866018 - Sh:742
Göbel, R., Shelah, S., & Wallutis, S. L. (2003). On universal and epi-universal locally nilpotent groups. Illinois J. Math., 47(1-2), 223–236. arXiv: math/0112252 http://projecteuclid.org/euclid.ijm/1258488149 MR: 2031317 - Sh:743
Droste, M., & Shelah, S. (2002). Outer automorphism groups of ordered permutation groups. Forum Math., 14(4), 605–621. arXiv: math/0010304 DOI: 10.1515/form.2002.026 MR: 1900174 - Sh:744
Shelah, S. (2003). A countable structure does not have a free uncountable automorphism group. Bull. London Math. Soc., 35(1), 1–7. arXiv: math/0010305 DOI: 10.1112/S0024609302001534 MR: 1934424 - Sh:745
Nešetřil, J., & Shelah, S. (2003). On the order of countable graphs. European J. Combin., 24(6), 649–663. arXiv: math/0404319 DOI: 10.1016/S0195-6698(03)00064-7 MR: 1995579 - Sh:746
Larson, P. B., & Shelah, S. (2003). Bounding by canonical functions, with CH. J. Math. Log., 3(2), 193–215. arXiv: math/0011187 DOI: 10.1142/S021906130300025X MR: 2030084 - Sh:747
Goldstern, M., & Shelah, S. (2009). Large intervals in the clone lattice. Algebra Universalis, 62(4), 367–374. arXiv: math/0208066 DOI: 10.1007/s00012-010-0047-6 MR: 2670171 - Sh:748
Kikyo, H., & Shelah, S. (2002). The strict order property and generic automorphisms. J. Symbolic Logic, 67(1), 214–216. arXiv: math/0010306 DOI: 10.2178/jsl/1190150038 MR: 1889545 - Sh:749
Eklof, P. C., & Shelah, S. (2003). On the existence of precovers. Illinois J. Math., 47(1-2), 173–188. arXiv: math/0011228 http://projecteuclid.org/euclid.ijm/1258488146 MR: 2031314 - Sh:750
Shelah, S. (2011). On \lambda strong homogeneity existence for cofinality logic. Cubo, 13(2), 59–72. arXiv: 0902.0439 DOI: 10.4067/s0719-06462011000200003 MR: 2908010 - Sh:751
Eda, K., & Shelah, S. (2002). The non-commutative Specker phenomenon in the uncountable case. J. Algebra, 252(1), 22–26. arXiv: math/0011231 DOI: 10.1016/S0021-8693(02)00045-5 MR: 1922382 - Sh:752
Eklof, P. C., & Shelah, S. (2002). Whitehead modules over large principal ideal domains. Forum Math., 14(3), 477–482. arXiv: math/0011230 DOI: 10.1515/form.2002.021 MR: 1899295 - Sh:753
Mildenberger, H., & Shelah, S. (2002). The splitting number can be smaller than the matrix chaos number. Fund. Math., 171(2), 167–176. arXiv: math/0011188 DOI: 10.4064/fm171-2-4 MR: 1880382 - Sh:754
Shelah, S., & Strüngmann, L. H. (2003). It is consistent with ZFC that B_1-groups are not B_2. Forum Math., 15(4), 507–524. arXiv: math/0012172 DOI: 10.1515/form.2003.028 MR: 1978332 - Sh:755
Shelah, S. (2002). Weak diamond. Sci. Math. Jpn., 55(3), 531–538. arXiv: math/0107207 MR: 1901038 - Sh:756
Hyttinen, T., & Shelah, S. (2002). Forcing a Boolean algebra with predesigned automorphism group. Proc. Amer. Math. Soc., 130(10), 2837–2843. arXiv: math/0102044 DOI: 10.1090/S0002-9939-02-06399-2 MR: 1908905 - Sh:757
Shelah, S. (2004). Quite complete real closed fields. Israel J. Math., 142, 261–272. arXiv: math/0112212 DOI: 10.1007/BF02771536 MR: 2085719 - Sh:758
Matsubara, Y., & Shelah, S. (2002). Nowhere precipitousness of the non-stationary ideal over \mathcal P_{\kappa}\lambda. J. Math. Log., 2(1), 81–89. arXiv: math/0102045 DOI: 10.1142/S021906130200014X MR: 1900548 - Sh:759
Baldwin, J. T., & Shelah, S. (2001). Model companions of T_\mathrm{Aut} for stable T. Notre Dame J. Formal Logic, 42(3), 129–142 (2003). arXiv: math/0105136 DOI: 10.1305/ndjfl/1063372196 MR: 2010177 - Sh:760
Blass, A. R., Gurevich, Y., & Shelah, S. (2002). On polynomial time computation over unordered structures. J. Symbolic Logic, 67(3), 1093–1125. arXiv: math/0102059 DOI: 10.2178/jsl/1190150152 MR: 1926601 - Sh:761
Shelah, S. (2003). A partition relation using strongly compact cardinals. Proc. Amer. Math. Soc., 131(8), 2585–2592. arXiv: math/0103155 DOI: 10.1090/S0002-9939-02-06789-8 MR: 1974659 - Sh:762
Brendle, J., & Shelah, S. (2003). Evasion and prediction. IV. Strong forms of constant prediction. Arch. Math. Logic, 42(4), 349–360. arXiv: math/0103153 DOI: 10.1007/s001530200143 MR: 2018086 - Sh:763
Fuchino, S., Greenberg, N., & Shelah, S. (2006). Models of real-valued measurability. Ann. Pure Appl. Logic, 142(1-3), 380–397. arXiv: math/0601087 DOI: 10.1016/j.apal.2006.04.003 MR: 2250550
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Shelah, S., & Shioya, M. (2006). Nonreflecting stationary sets in \mathcal P_\kappa\lambda. Adv. Math., 199(1), 185–191. arXiv: math/0405013 DOI: 10.1016/j.aim.2005.01.012 MR: 2187403
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Juhász, I., Shelah, S., Soukup, L., & Szentmiklóssy, Z. (2004). Cardinal sequences and Cohen real extensions. Fund. Math., 181(1), 75–88. arXiv: math/0404322 DOI: 10.4064/fm181-1-3 MR: 2071695 - Sh:766
Fuchs, L., & Shelah, S. (2003). On a non-vanishing Ext. Rend. Sem. Mat. Univ. Padova, 109, 235–239. arXiv: math/0405015 MR: 1997989 - Sh:767
Shelah, S., & Tsuboi, A. (2002). Definability of initial segments. Notre Dame J. Formal Logic, 43(2), 65–73 (2003). arXiv: math/0104277 DOI: 10.1305/ndjfl/1071509428 MR: 2033316 - Sh:768
Shelah, S., & Tsaban, B. (2003). Critical cardinalities and additivity properties of combinatorial notions of smallness. J. Appl. Anal., 9(2), 149–162. arXiv: math/0304019 DOI: 10.1515/JAA.2003.149 MR: 2021285 - Sh:769
Kennedy, J. C., & Shelah, S. (2002). On regular reduced products. J. Symbolic Logic, 67(3), 1169–1177. arXiv: math/0105135 DOI: 10.2178/jsl/1190150156 MR: 1926605 - Sh:770
Hellsten, A., Hyttinen, T., & Shelah, S. (2002). Potential isomorphism and semi-proper trees. Fund. Math., 175(2), 127–142. arXiv: math/0112288 DOI: 10.4064/fm175-2-3 MR: 1969631 - Sh:771
Shelah, S. (2011). Polish algebras, shy from freedom. Israel J. Math., 181, 477–507. arXiv: math/0212250 DOI: 10.1007/s11856-011-0020-x MR: 2773054 - Sh:772
Shelah, S., & Strüngmann, L. H. (2003). Kulikov’s problem on universal torsion-free abelian groups. J. London Math. Soc. (2), 67(3), 626–642. arXiv: math/0112253 DOI: 10.1112/S0024610703004216 MR: 1967696 - Sh:773
Shelah, S., & Strüngmann, L. H. (2002). Cotorsion theories cogenerated by \aleph_1-free abelian groups. Rocky Mountain J. Math., 32(4), 1617–1626. arXiv: math/0107208 DOI: 10.1216/rmjm/1181070044 MR: 1987629 - Sh:774
Bartoszyński, T., Shelah, S., & Tsaban, B. (2003). Additivity properties of topological diagonalizations. J. Symbolic Logic, 68(4), 1254–1260. arXiv: math/0112262 DOI: 10.2178/jsl/1067620185 MR: 2017353 - Sh:775
Shelah, S. (2005). Super black box (ex. Middle diamond). Arch. Math. Logic, 44(5), 527–560. arXiv: math/0212249 DOI: 10.1007/s00153-004-0239-x MR: 2210145 - Sh:776
Hyttinen, T., Shelah, S., & Väänänen, J. A. (2002). More on the Ehrenfeucht-Fraïssé game of length \omega_1. Fund. Math., 175(1), 79–96. arXiv: math/0212234 DOI: 10.4064/fm175-1-5 MR: 1971240 - Sh:777
Rosłanowski, A., & Shelah, S. (2007). Sheva-Sheva-Sheva: large creatures. Israel J. Math., 159, 109–174. arXiv: math/0210205 DOI: 10.1007/s11856-007-0040-8 MR: 2342475 - Sh:778
Mildenberger, H., & Shelah, S. (2003). Specialising Aronszajn trees by countable approximations. Arch. Math. Logic, 42(7), 627–647. arXiv: math/0112287 DOI: 10.1007/s00153-002-0168-5 MR: 2015092 - Sh:779
Larson, P. B., & Shelah, S. (2017). Consistency of a strong uniformization principle. Colloq. Math., 146(1), 1–13. DOI: 10.4064/cm6542-3-2016 MR: 3570198 - Sh:780
Göbel, R., & Shelah, S. (2003). Characterizing automorphism groups of ordered abelian groups. Bull. London Math. Soc., 35(3), 289–292. arXiv: math/0112264 DOI: 10.1112/S0024609302001881 MR: 1960938 - Sh:781
Kojman, M., & Shelah, S. (2003). van der Waerden spaces and Hindman spaces are not the same. Proc. Amer. Math. Soc., 131(5), 1619–1622. arXiv: math/0112265 DOI: 10.1090/S0002-9939-02-06916-2 MR: 1950294 - Sh:782
Shelah, S. (2005). On the Arrow property. Adv. In Appl. Math., 34(2), 217–251. arXiv: math/0112213 DOI: 10.1016/j.aam.2002.03.001 MR: 2110551 - Sh:783
Shelah, S. (2009). Dependent first order theories, continued. Israel J. Math., 173, 1–60. arXiv: math/0406440 DOI: 10.1007/s11856-009-0082-1 MR: 2570659 - Sh:784
Shelah, S. (2004). Forcing axiom failure for any \lambda>\aleph_1. Arch. Math. Logic, 43(3), 285–295. arXiv: math/0112286 DOI: 10.1007/s00153-003-0208-9 MR: 2052883 - Sh:785
Göbel, R., Shelah, S., & Strüngmann, L. H. (2003). Almost-free E-rings of cardinality \aleph_1. Canad. J. Math., 55(4), 750–765. arXiv: math/0112214 DOI: 10.4153/CJM-2003-032-8 MR: 1994072 - Sh:786
Shelah, S., & Steprāns, J. (2007). Possible cardinalities of maximal abelian subgroups of quotients of permutation groups of the integers. Fund. Math., 196(3), 197–235. arXiv: math/0212233 DOI: 10.4064/fm196-3-1 MR: 2353856 - Sh:787
Shelah, S., & Väisänen, P. (2002). Almost free groups and Ehrenfeucht-Fraïssé games for successors of singular cardinals. Ann. Pure Appl. Logic, 118(1-2), 147–173. arXiv: math/0212063 DOI: 10.1016/S0168-0072(02)00037-4 MR: 1934121 - Sh:788
Komjáth, P., & Shelah, S. (2005). Finite subgraphs of uncountably chromatic graphs. J. Graph Theory, 49(1), 28–38. arXiv: math/0212064 DOI: 10.1002/jgt.20060 MR: 2130468 - Sh:789
Shelah, S., & Usvyatsov, A. (2006). Banach spaces and groups—order properties and universal models. Israel J. Math., 152, 245–270. arXiv: math/0303325 DOI: 10.1007/BF02771986 MR: 2214463 - Sh:790
Shelah, S., & Väänänen, J. A. (2006). Recursive logic frames. MLQ Math. Log. Q., 52(2), 151–164. arXiv: math/0405016 DOI: 10.1002/malq.200410058 MR: 2214627 - Sh:791
Shelah, S., & Zapletal, J. (2002). Duality and the PCF theory. Math. Res. Lett., 9(5-6), 585–595. arXiv: math/0212041 DOI: 10.4310/MRL.2002.v9.n5.a2 MR: 1906062 - Sh:792
Shelah, S., & Zapletal, J. (2003). Games with creatures. Comment. Math. Univ. Carolin., 44(1), 9–21. arXiv: math/0212042 MR: 2045842 - Sh:793
Kojman, M., Kubiś, W., & Shelah, S. (2004). On two problems of Erdős and Hechler: new methods in singular madness. Proc. Amer. Math. Soc., 132(11), 3357–3365. arXiv: math/0406441 DOI: 10.1090/S0002-9939-04-07580-X MR: 2073313 - Sh:794
Shelah, S. (2008). Reflection implies the SCH. Fund. Math., 198(2), 95–111. arXiv: math/0404323 DOI: 10.4064/fm198-2-1 MR: 2369124 - Sh:795
Juhász, I., & Shelah, S. (2003). Generic left-separated spaces and calibers. Topology Appl., 132(2), 103–108. arXiv: math/0212027 DOI: 10.1016/S0166-8641(02)00367-X MR: 1991801 - Sh:796
Komjáth, P., & Shelah, S. (2003). A partition theorem for scattered order types. Combin. Probab. Comput., 12(5-6), 621–626. arXiv: math/0212022 DOI: 10.1017/S0963548303005686 MR: 2037074 - Sh:797
Shelah, S. (2012). Nice infinitary logics. J. Amer. Math. Soc., 25(2), 395–427. arXiv: 1005.2806 DOI: 10.1090/S0894-0347-2011-00712-1 MR: 2869022 - Sh:799
Matet, P., Rosłanowski, A., & Shelah, S. (2005). Cofinality of the nonstationary ideal. Trans. Amer. Math. Soc., 357(12), 4813–4837. arXiv: math/0210087 DOI: 10.1090/S0002-9947-05-04007-9 MR: 2165389 - Sh:801
Doron, M., & Shelah, S. (2005). A dichotomy in classifying quantifiers for finite models. J. Symbolic Logic, 70(4), 1297–1324. arXiv: math/0405091 DOI: 10.2178/jsl/1129642126 MR: 2194248 - Sh:802
Kubiś, W., & Shelah, S. (2003). Analytic colorings. Ann. Pure Appl. Logic, 121(2-3), 145–161. arXiv: math/0212026 DOI: 10.1016/S0168-0072(02)00110-0 MR: 1982945 - Sh:803
Shelah, S., & Strüngmann, L. H. (2009). Large indecomposable minimal groups. Q. J. Math., 60(3), 353–365. DOI: 10.1093/qmath/han012 MR: 2533663 - Sh:805
Gitik, M., Schindler, R.-D., & Shelah, S. (2006). PCF theory and Woodin cardinals. In Logic Colloquium ’02, Vol. 27, Assoc. Symbol. Logic, La Jolla, CA, pp. 172–205. arXiv: math/0211433 MR: 2258707 - Sh:806
Shelah, S. Martin’s axiom and maximal orthogonal families. Real Anal. Exchange, 28(2), 477–480. arXiv: math/0211438 DOI: 10.14321/realanalexch.28.2.0477 MR: 2010330 - Sh:807
Bartoszyński, T., & Shelah, S. (2003). Strongly meager sets of size continuum. Arch. Math. Logic, 42(8), 769–779. arXiv: math/0211023 DOI: 10.1007/s00153-003-0184-0 MR: 2020043 - Sh:808
Goldstern, M., & Shelah, S. (2005). Clones from creatures. Trans. Amer. Math. Soc., 357(9), 3525–3551. arXiv: math/0212379 DOI: 10.1090/S0002-9947-04-03593-7 MR: 2146637 - Sh:809
Shelah, S., & Steprāns, J. (2005). Comparing the uniformity invariants of null sets for different measures. Adv. Math., 192(2), 403–426. arXiv: math/0405092 DOI: 10.1016/j.aim.2004.04.010 MR: 2128705 - Sh:811
Geschke, S., & Shelah, S. (2003). Some notes concerning the homogeneity of Boolean algebras and Boolean spaces. Topology Appl., 133(3), 241–253. arXiv: math/0211399 DOI: 10.1016/S0166-8641(03)00103-2 MR: 2000501 - Sh:812
Shelah, S., Väisänen, P., & Väänänen, J. A. (2005). On ordinals accessible by infinitary languages. Fund. Math., 186(3), 193–214. DOI: 10.4064/fm186-3-1 MR: 2191236 - Sh:813
Matet, P., Péan, C., & Shelah, S. (2005). Cofinality of normal ideals on P_\kappa(\lambda). II. Israel J. Math., 150, 253–283. DOI: 10.1007/BF02762383 MR: 2255811 - Sh:814
Eklof, P. C., Shelah, S., & Trlifaj, J. (2004). On the cogeneration of cotorsion pairs. J. Algebra, 277(2), 572–578. arXiv: math/0405117 DOI: 10.1016/j.jalgebra.2003.09.018 MR: 2067620 - Sh:815
Baizhanov, B. S., Baldwin, J. T., & Shelah, S. (2005). Subsets of superstable structures are weakly benign. J. Symbolic Logic, 70(1), 142–150. arXiv: math/0303324 DOI: 10.2178/jsl/1107298514 MR: 2119127 - Sh:816
Shelah, S. (2009). What majority decisions are possible. Discrete Math., 309(8), 2349–2364. arXiv: math/0405119 DOI: 10.1016/j.disc.2008.05.010 MR: 2510361 - Sh:817
Shelah, S. (2004). Spectra of monadic second order sentences. Sci. Math. Jpn., 59(2), 351–355. arXiv: math/0405158 MR: 2062201 - Sh:818
Kramer, L., Shelah, S., Tent, K., & Thomas, S. (2005). Asymptotic cones of finitely presented groups. Adv. Math., 193(1), 142–173. arXiv: math/0306420 DOI: 10.1016/j.aim.2004.04.012 MR: 2132762 - Sh:819
Eisworth, T., & Shelah, S. (2009). Successors of singular cardinals and coloring theorems. II. J. Symbolic Logic, 74(4), 1287–1309. arXiv: 0806.0031 DOI: 10.2178/jsl/1254748692 MR: 2583821 - Sh:820
Shelah, S. (2017). Universal structures. Notre Dame J. Form. Log., 58(2), 159–177. arXiv: math/0405159 DOI: 10.1215/00294527-3800985 MR: 3634974 - Sh:821
Hyttinen, T., Lessmann, O., & Shelah, S. (2005). Interpreting groups and fields in some nonelementary classes. J. Math. Log., 5(1), 1–47. arXiv: math/0406481 DOI: 10.1142/S0219061305000390 MR: 2151582 - Sh:822
Börner, F., Goldstern, M., & Shelah, S. (2023). Automorphisms and strongly invariant relations. Algebra Universalis, 84(4), Paper No. 27, 23. arXiv: math/0309165 DOI: 10.1007/s00012-023-00818-4 MR: 4629461 - Sh:823
Bergman, G. M., & Shelah, S. (2006). Closed subgroups of the infinite symmetric group. Algebra Universalis, 55(2-3), 137–173. arXiv: math/0401305 DOI: 10.1007/s00012-006-1959-z MR: 2280223 - Sh:824
Shelah, S. (2005). Two cardinals models with gap one revisited. MLQ Math. Log. Q., 51(5), 437–447. arXiv: math/0404149 DOI: 10.1002/malq.200410036 MR: 2163755 - Sh:825
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Bartoszyński, T., & Shelah, S. (2008). On the density of Hausdorff ultrafilters. In Logic Colloquium 2004, Vol. 29, Assoc. Symbol. Logic, Chicago, IL, pp. 18–32. arXiv: math/0311064 MR: 2401857 - Sh:827
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Shelah, S. (2006). More on the revised GCH and the black box. Ann. Pure Appl. Logic, 140(1-3), 133–160. arXiv: math/0406482 DOI: 10.1016/j.apal.2005.09.013 MR: 2224056 - Sh:830
Shelah, S. (2006). The combinatorics of reasonable ultrafilters. Fund. Math., 192(1), 1–23. arXiv: math/0407498 DOI: 10.4064/fm192-1-1 MR: 2283626 - Sh:831
Göbel, R., & Shelah, S. (2005). How rigid are reduced products? J. Pure Appl. Algebra, 202(1-3), 230–258. DOI: 10.1016/j.jpaa.2005.02.002 MR: 2163410 - Sh:832
Greenberg, N., & Shelah, S. (2024). Many forcing axioms for all regular uncountable cardinals. Israel J. Math., 261(1), 127–170. arXiv: 2107.05755 DOI: 10.1007/s11856-023-2570-0 MR: 4776489 - Sh:833
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Göbel, R., & Shelah, S. (2006). Torsionless linearly compact modules. In Abelian groups, rings, modules, and homological algebra, Vol. 249, Chapman & Hall/CRC, Boca Raton, FL, pp. 153–158. DOI: 10.1201/9781420010763.ch14 MR: 2229109 - Sh:835
Shelah, S. (2024). pcf without choice Sh835. Arch. Math. Logic, 63(5-6), 623–654. arXiv: math/0510229 DOI: 10.1007/s00153-023-00900-7 MR: 4765805 - Sh:836
Shelah, S. (2006). On long EF-equivalence in non-isomorphic models. In Logic Colloquium ’03, Vol. 24, Assoc. Symbol. Logic, La Jolla, CA, pp. 315–325. arXiv: math/0404222 MR: 2207360 - Sh:837
Shelah, S., & Usvyatsov, A. (2011). Model theoretic stability and categoricity for complete metric spaces. Israel J. Math., 182, 157–198. arXiv: math/0612350 DOI: 10.1007/s11856-011-0028-2 MR: 2783970 - Sh:840
Shelah, S. (2009). Model theory without choice? Categoricity. J. Symbolic Logic, 74(2), 361–401. arXiv: math/0504196 DOI: 10.2178/jsl/1243948319 MR: 2518563 - Sh:841
Shelah, S., & Sági, G. (2005). On topological properties of ultraproducts of finite sets. MLQ Math. Log. Q., 51(3), 254–257. arXiv: math/0404148 DOI: 10.1002/malq.200410024 MR: 2135487 - Sh:842
Shelah, S., & Vasey, S. (2024). Categoricity and multidimensional diagrams. J. Eur. Math. Soc. (JEMS), 26(7), 2301–2372. arXiv: 1805.06291 DOI: 10.4171/jems/1477 MR: 4756567 - Sh:843
Mildenberger, H., & Shelah, S. (2007). Increasing the groupwise density number by c.c.c. forcing. Ann. Pure Appl. Logic, 149(1-3), 7–13. arXiv: math/0404147 DOI: 10.1016/j.apal.2007.07.001 MR: 2364193 - Sh:844
Shelah, S., & Usvyatsov, A. (2008). More on SOP_1 and SOP_2. Ann. Pure Appl. Logic, 155(1), 16–31. arXiv: math/0404178 DOI: 10.1016/j.apal.2008.02.003 MR: 2454629 - Sh:845
Rosłanowski, A., & Shelah, S. (2007). Universal forcing notions and ideals. Arch. Math. Logic, 46(3-4), 179–196. arXiv: math/0404146 DOI: 10.1007/s00153-007-0037-3 MR: 2306175 - Sh:846
Shelah, S. (2008). The spectrum of characters of ultrafilters on \omega. Colloq. Math., 111(2), 213–220. arXiv: math/0612240 DOI: 10.4064/cm111-2-5 MR: 2365799 - Sh:847
Mildenberger, H., Shelah, S., & Tsaban, B. (2006). Covering the Baire space by families which are not finitely dominating. Ann. Pure Appl. Logic, 140(1-3), 60–71. arXiv: math/0407487 DOI: 10.1016/j.apal.2005.09.008 MR: 2224049 - Sh:848
Mildenberger, H., & Shelah, S. (2009). Specializing Aronszajn trees and preserving some weak diamonds. J. Appl. Anal., 15(1), 47–78. DOI: 10.1515/JAA.2009.47 MR: 2537976 - Sh:849
Shelah, S. (2016). Beginning of stability theory for Polish spaces. Israel J. Math., 214(2), 507–537. arXiv: 1011.3578 DOI: 10.1007/s11856-016-1342-5 MR: 3544691 - Sh:850
Cherlin, G. L., & Shelah, S. (2007). Universal graphs with a forbidden subtree. J. Combin. Theory Ser. B, 97(3), 293–333. arXiv: math/0512218 DOI: 10.1016/j.jctb.2006.05.008 MR: 2305886 - Sh:851
Laskowski, M. C., & Shelah, S. (2006). Decompositions of saturated models of stable theories. Fund. Math., 191(2), 95–124. DOI: 10.4064/fm191-2-1 MR: 2231058 - Sh:852
Kennedy, J. C., & Shelah, S. (2004). More on regular reduced products. J. Symbolic Logic, 69(4), 1261–1266. arXiv: math/0504200 DOI: 10.2178/jsl/1102022222 MR: 2135667 - Sh:853
Shelah, S. (2005). The depth of ultraproducts of Boolean algebras. Algebra Universalis, 54(1), 91–96. arXiv: math/0406531 DOI: 10.1007/s00012-005-1925-1 MR: 2217966 - Sh:854
Blass, A. R., & Shelah, S. (2005). Ultrafilters and partial products of infinite cyclic groups. Comm. Algebra, 33(6), 1997–2007. arXiv: math/0504199 DOI: 10.1081/AGB-200063355 MR: 2150855 - Sh:855
Shelah, S., & Strüngmann, L. H. (2010). Filtration-equivalent \aleph_1-separable abelian groups of cardinality \aleph_1. Ann. Pure Appl. Logic, 161(7), 935–943. arXiv: math/0612241 DOI: 10.1016/j.apal.2009.12.001 MR: 2601022 - Sh:856
Rosłanowski, A., & Shelah, S. (2006). How much sweetness is there in the universe? MLQ Math. Log. Q., 52(1), 71–86. arXiv: math/0406612 DOI: 10.1002/malq.200410056 MR: 2195002 - Sh:857
Kuhlmann, S., & Shelah, S. (2005). \kappa-bounded exponential-logarithmic power series fields. Ann. Pure Appl. Logic, 136(3), 284–296. arXiv: math/0512220 DOI: 10.1016/j.apal.2005.04.001 MR: 2169687 - Sh:858
Mildenberger, H., Shelah, S., & Tsaban, B. (2007). The combinatorics of \tau-covers. Topology Appl., 154(1), 263–276. arXiv: math/0409068 DOI: 10.1016/j.topol.2006.04.011 MR: 2271787 - Sh:859
Kellner, J., & Shelah, S. (2011). Saccharinity. J. Symbolic Logic, 76(4), 1153–1183. arXiv: math/0511330 DOI: 10.2178/jsl/1318338844 MR: 2895391 - Sh:860
Rosłanowski, A., & Shelah, S. (2006). Reasonably complete forcing notions. In Set theory: recent trends and applications, Vol. 17, Dept. Math., Seconda Univ. Napoli, Caserta, pp. 195–239. arXiv: math/0508272 MR: 2374767 - Sh:861
Shelah, S. (2007). Power set modulo small, the singular of uncountable cofinality. J. Symbolic Logic, 72(1), 226–242. arXiv: math/0612243 DOI: 10.2178/jsl/1174668393 MR: 2298480 - Sh:862
Baldwin, J. T., & Shelah, S. (2008). Examples of non-locality. J. Symbolic Logic, 73(3), 765–782. DOI: 10.2178/jsl/1230396746 MR: 2444267 - Sh:863
Shelah, S. (2014). Strongly dependent theories. Israel J. Math., 204(1), 1–83. arXiv: math/0504197 DOI: 10.1007/s11856-014-1111-2 MR: 3273451 - Sh:864
Shelah, S., & Sági, G. (2006). On weak and strong interpolation in algebraic logics. J. Symbolic Logic, 71(1), 104–118. arXiv: math/0612244 DOI: 10.2178/jsl/1140641164 MR: 2210057 - Sh:865
Doron, M., & Shelah, S. (2007). Relational structures constructible by quantifier free definable operations. J. Symbolic Logic, 72(4), 1283–1298. arXiv: math/0607375 DOI: 10.2178/jsl/1203350786 MR: 2371205 - Sh:866
Havlin, C., & Shelah, S. (2007). Existence of EF-equivalent non-isomorphic models. MLQ Math. Log. Q., 53(2), 111–127. arXiv: math/0612245 DOI: 10.1002/malq.200610031 MR: 2308491 - Sh:867
Göbel, R., & Shelah, S. (2006). Generalized E-algebras via \lambda-calculus. I. Fund. Math., 192(2), 155–181. arXiv: 0711.3045 DOI: 10.4064/fm192-2-5 MR: 2283757 - Sh:868
Shelah, S. (2012). When a first order T has limit models. Colloq. Math., 126(2), 187–204. arXiv: math/0603651 DOI: 10.4064/cm126-2-4 MR: 2924249 - Sh:869
Matet, P., & Shelah, S. (2017). The nonstationary ideal on P_\kappa (\lambda) for \lambda singular. Arch. Math. Logic, 56(7-8), 911–934. arXiv: math/0612246 DOI: 10.1007/s00153-017-0552-9 MR: 3696072 - Sh:870
Blass, A. R., & Shelah, S. (2006). Disjoint non-free subgroups of abelian groups. In Set theory: recent trends and applications, Vol. 17, Dept. Math., Seconda Univ. Napoli, Caserta, pp. 1–24. arXiv: math/0509406 MR: 2374760 - Sh:871
Laskowski, M. C., & Shelah, S. (2011). A trichotomy of countable, stable, unsuperstable theories. Trans. Amer. Math. Soc., 363(3), 1619–1629. arXiv: 0711.3043 DOI: 10.1090/S0002-9947-2010-05196-7 MR: 2737280 - Sh:872
Kellner, J., & Shelah, S. (2009). Decisive creatures and large continuum. J. Symbolic Logic, 74(1), 73–104. arXiv: math/0601083 DOI: 10.2178/jsl/1231082303 MR: 2499421 - Sh:873
Shelah, S., & Strüngmann, L. H. (2007). A characterization of \mathrm{Ext}(G,\mathbb Z) assuming (V=L). Fund. Math., 193(2), 141–151. arXiv: math/0609638 DOI: 10.4064/fm193-2-3 MR: 2282712 - Sh:874
Shelah, S., & Strüngmann, L. H. (2007). On the p-rank of \mathrm{Ext}_{\mathbb Z}(G,\mathbb Z) in certain models of ZFC. Algebra Logika, 46(3), 369–397, 403–404. arXiv: math/0609637 DOI: 10.1007/s10469-007-0019-x MR: 2356727 - Sh:875
Jarden, A., & Shelah, S. (2013). Non-forking frames in abstract elementary classes. Ann. Pure Appl. Logic, 164(3), 135–191. arXiv: 0901.0852 DOI: 10.1016/j.apal.2012.09.007 MR: 3001542 - Sh:876
Shelah, S. (2008). Minimal bounded index subgroup for dependent theories. Proc. Amer. Math. Soc., 136(3), 1087–1091. arXiv: math/0603652 DOI: 10.1090/S0002-9939-07-08654-6 MR: 2361885 - Sh:877
Shelah, S. (2014). Dependent T and existence of limit models. Tbilisi Math. J., 7(1), 99–128. arXiv: math/0609636 DOI: 10.2478/tmj-2014-0010 MR: 3313049 - Sh:878
Garti, S., & Shelah, S. (2008). On Depth and Depth^+ of Boolean algebras. Algebra Universalis, 58(2), 243–248. arXiv: math/0512217 DOI: 10.1007/s00012-008-2065-1 MR: 2386531 - Sh:879
Eklof, P. C., Fuchs, L., & Shelah, S. (2012). Test groups for Whitehead groups. Rocky Mountain J. Math., 42(6), 1863–1873. arXiv: math/0702293 DOI: 10.1216/RMJ-2012-42-6-1863 MR: 3028765 - Sh:880
Göbel, R., & Shelah, S. (2007). Absolutely indecomposable modules. Proc. Amer. Math. Soc., 135(6), 1641–1649. arXiv: 0711.3011 DOI: 10.1090/S0002-9939-07-08725-4 MR: 2286071 - Sh:881
Shelah, S. (2009). The Erdős-Rado arrow for singular cardinals. Canad. Math. Bull., 52(1), 127–131. arXiv: math/0605385 DOI: 10.4153/CMB-2009-015-8 MR: 2494318 - Sh:882
Kaplan, I., & Shelah, S. (2009). The automorphism tower of a centerless group without choice. Arch. Math. Logic, 48(8), 799–815. arXiv: math/0606216 DOI: 10.1007/s00153-009-0154-2 MR: 2563819 - Sh:883
Shelah, S. (2007). \aleph_n-free abelian group with no non-zero homomorphism to \mathbb Z. Cubo, 9(2), 59–79. arXiv: math/0609634 MR: 2354353 - Sh:884
Goldstern, M., & Shelah, S. (2016). All creatures great and small. Trans. Amer. Math. Soc., 368(11), 7551–7577. arXiv: 0706.1190 DOI: 10.1090/tran/6568 MR: 3546775 - Sh:885
Shelah, S. (2009). A comment on “\mathfrak p<\mathfrak t”. Canad. Math. Bull., 52(2), 303–314. arXiv: math/0404220 DOI: 10.4153/CMB-2009-033-4 MR: 2518968 - Sh:886
Shelah, S. (2017). Definable groups for dependent and 2-dependent theories. Sarajevo J. Math., 13(25)(1), 3–25. arXiv: math/0703045 DOI: 10.5644/SJM.13.1.01 MR: 3666349 - Sh:887
Shelah, S. (2008). Groupwise density cannot be much bigger than the unbounded number. MLQ Math. Log. Q., 54(4), 340–344. arXiv: math/0612353 DOI: 10.1002/malq.200710032 MR: 2435897 - Sh:888
Rosłanowski, A., & Shelah, S. (2011). Lords of the iteration. In Set theory and its applications, Vol. 533, Amer. Math. Soc., Providence, RI, pp. 287–330. arXiv: math/0611131 DOI: 10.1090/conm/533/10514 MR: 2777755 - Sh:889
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Rosłanowski, A., & Shelah, S. (2011). Reasonable ultrafilters, again. Notre Dame J. Form. Log., 52(2), 113–147. arXiv: math/0605067 DOI: 10.1215/00294527-1306154 MR: 2794647 - Sh:891
Garti, S., & Shelah, S. (2007). Two cardinal models for singular \mu. MLQ Math. Log. Q., 53(6), 636–641. arXiv: math/0612247 DOI: 10.1002/malq.200610053 MR: 2351585 - Sh:892
Dror Farjoun, E., Göbel, R., Segev, Y., & Shelah, S. (2007). On kernels of cellular covers. Groups Geom. Dyn., 1(4), 409–419. arXiv: math/0702294 DOI: 10.4171/GGD/20 MR: 2357479 - Sh:893
Shelah, S. (2015). A.E.C. with not too many models. In A. Hirvonen, M. Kesala, J. Kontinen, R. Kossak, & A. Villaveces, eds., Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics, Vols. Ontos Mathematical Logic, vol. 5, Berlin, Boston: DeGruyter, pp. 367–402. arXiv: 1302.4841 DOI: 10.1515/9781614516873.367 - Sh:894
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Shelah, S. (2010). Large continuum, oracles. Cent. Eur. J. Math., 8(2), 213–234. arXiv: 0707.1818 DOI: 10.2478/s11533-010-0018-3 MR: 2610747 - Sh:896
Kellner, J., Pauna, M., & Shelah, S. (2007). Winning the pressing down game but not Banach-Mazur. J. Symbolic Logic, 72(4), 1323–1335. arXiv: math/0609655 DOI: 10.2178/jsl/1203350789 MR: 2371208 - Sh:897
Shelah, S. (2008). Theories with Ehrenfeucht-Fraïssé equivalent non-isomorphic models. Tbil. Math. J., 1, 133–164. arXiv: math/0703477 MR: 2563810 - Sh:898
Shelah, S. (2013). Pcf and abelian groups. Forum Math., 25(5), 967–1038. arXiv: 0710.0157 DOI: 10.1515/forum-2013-0119 MR: 3100959 - Sh:899
Juhász, I., & Shelah, S. (2008). Hereditarily Lindelöf spaces of singular density. Studia Sci. Math. Hungar., 45(4), 557–562. arXiv: math/0702295 DOI: 10.1556/SScMath.2007.1037 MR: 2641451 - Sh:900
Shelah, S. (2015). Dependent theories and the generic pair conjecture. Commun. Contemp. Math., 17(1), 1550004, 64. arXiv: math/0702292 DOI: 10.1142/S0219199715500042 MR: 3291978 - Sh:901
Juhász, I., Shelah, S., & Soukup, L. (2009). Resolvability vs. almost resolvability. Topology Appl., 156(11), 1966–1969. arXiv: math/0702296 DOI: 10.1016/j.topol.2009.03.019 MR: 2536179 - Sh:902
Larson, P. B., & Shelah, S. (2008). The stationary set splitting game. MLQ Math. Log. Q., 54(2), 187–193. arXiv: 1003.2425 DOI: 10.1002/malq.200610054 MR: 2402627 - Sh:903
Machura, M., Shelah, S., & Tsaban, B. (2010). Squares of Menger-bounded groups. Trans. Amer. Math. Soc., 362(4), 1751–1764. arXiv: math/0611353 DOI: 10.1090/S0002-9947-09-05169-1 MR: 2574876 - Sh:904
Shelah, S. (2010). Reflexive abelian groups and measurable cardinals and full MAD families. Algebra Universalis, 63(4), 351–366. arXiv: math/0703493 DOI: 10.1007/s00012-010-0086-z MR: 2734302 - Sh:905
Kellner, J., & Shelah, S. (2010). A Sacks real out of nowhere. J. Symbolic Logic, 75(1), 51–76. arXiv: math/0703302 DOI: 10.2178/jsl/1264433909 MR: 2605882 - Sh:906
Shelah, S. (2011). No limit model in inaccessibles. In Models, logics, and higher-dimensional categories, Vol. 53, Amer. Math. Soc., Providence, RI, pp. 277–290. arXiv: 0705.4131 MR: 2867976 - Sh:907
Shelah, S. (2008). EF-equivalent not isomorphic pair of models. Proc. Amer. Math. Soc., 136(12), 4405–4412. arXiv: 0705.4126 DOI: 10.1090/S0002-9939-08-09362-3 MR: 2431056 - Sh:908
Shelah, S. (2010). On long increasing chains modulo flat ideals. MLQ Math. Log. Q., 56(4), 397–399. arXiv: 0705.4130 DOI: 10.1002/malq.200910010 MR: 2681343 - Sh:909
Gruenhut, E., & Shelah, S. (2011). Uniforming n-place functions on well founded trees. In Set theory and its applications, Vol. 533, Amer. Math. Soc., Providence, RI, pp. 267–280. arXiv: 0906.3055 DOI: 10.1090/conm/533/10512 MR: 2777753 - Sh:910
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Kaplan, I., & Shelah, S. (2012). Automorphism towers and automorphism groups of fields without choice. In Groups and model theory, Vol. 576, Amer. Math. Soc., Providence, RI, pp. 187–203. arXiv: 1004.1810 DOI: 10.1090/conm/576/11337 MR: 2962885 - Sh:914
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Shelah, S. (2011). The character spectrum of \beta(\mathbb N). Topology Appl., 158(18), 2535–2555. arXiv: 1004.2083 DOI: 10.1016/j.topol.2011.08.014 MR: 2847327 - Sh:916
Dow, A. S., & Shelah, S. (2008). Tie-points and fixed-points in \mathbb N^*. Topology Appl., 155(15), 1661–1671. arXiv: 0711.3037 DOI: 10.1016/j.topol.2008.05.002 MR: 2437015 - Sh:917
Dow, A. S., & Shelah, S. (2009). More on tie-points and homeomorphism in \mathbb N^\ast. Fund. Math., 203(3), 191–210. arXiv: 0711.3038 DOI: 10.4064/fm203-3-1 MR: 2506596 - Sh:918
Shelah, S. (2012). Many partition relations below density. Israel J. Math., 191(2), 507–543. arXiv: 0902.0440 DOI: 10.1007/s11856-012-0027-y MR: 3011486 - Sh:919
Cohen, M., & Shelah, S. (2016). Stable theories and representation over sets. MLQ Math. Log. Q., 62(3), 140–154. arXiv: 0906.3050 DOI: 10.1002/malq.200920105 MR: 3509699 - Sh:920
Göbel, R., & Shelah, S. (2009). \aleph_n-free modules with trivial duals. Results Math., 54(1-2), 53–64. DOI: 10.1007/s00025-009-0382-0 MR: 2529626 - Sh:921
Shelah, S., & Tsaban, B. (2010). On a problem of Juhász and van Mill. Topology Proc., 36, 385–392. arXiv: 0710.2768 MR: 2646986 - Sh:922
Shelah, S. (2010). Diamonds. Proc. Amer. Math. Soc., 138(6), 2151–2161. arXiv: 0711.3030 DOI: 10.1090/S0002-9939-10-10254-8 MR: 2596054 - Sh:923
Ardal, H., Maňuch, J., Rosenfeld, M., Shelah, S., & Stacho, L. (2009). The odd-distance plane graph. Discrete Comput. Geom., 42(2), 132–141. DOI: 10.1007/s00454-009-9190-2 MR: 2519871 - Sh:924
Shelah, S. (2015). Models of PA: when two elements are necessarily order automorphic. MLQ Math. Log. Q., 61(6), 399–417. arXiv: 1004.3342 DOI: 10.1002/malq.200920124 MR: 3433640 - Sh:925
Larson, P. B., & Shelah, S. (2009). Splitting stationary sets from weak forms of choice. MLQ Math. Log. Q., 55(3), 299–306. arXiv: 1003.2477 DOI: 10.1002/malq.200810011 MR: 2519245 - Sh:926
Bartoszyński, T., & Shelah, S. (2010). Dual Borel conjecture and Cohen reals. J. Symbolic Logic, 75(4), 1293–1310. DOI: 10.2178/jsl/1286198147 MR: 2767969 - Sh:927
Baldwin, J. T., Kolesnikov, A. S., & Shelah, S. (2009). The amalgamation spectrum. J. Symbolic Logic, 74(3), 914–928. DOI: 10.2178/jsl/1245158091 MR: 2548468
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Herden, D., & Shelah, S. (2010). \kappa-fold transitive groups. Forum Math., 22(4), 627–640. DOI: 10.1515/FORUM.2010.034 MR: 2661440 - Sh:930
Herden, D., & Shelah, S. (2009). An upper cardinal bound on absolute E-rings. Proc. Amer. Math. Soc., 137(9), 2843–2847. DOI: 10.1090/S0002-9939-09-09842-6 MR: 2506440 - Sh:931
Shelah, S., & Steprāns, J. (2011). Masas in the Calkin algebra without the continuum hypothesis. J. Appl. Anal., 17(1), 69–89. DOI: 10.1515/JAA.2011.004 MR: 2805847 - Sh:933
Laskowski, M. C., & Shelah, S. (2015). \mathbf P-NDOP and \mathbf P-decompositions of \aleph_\epsilon-saturated models of superstable theories. Fund. Math., 229(1), 47–81. arXiv: 1206.6028 DOI: 10.4064/fm229-1-2 MR: 3312115 - Sh:934
Hall, E. J., & Shelah, S. (2013). Partial choice functions for families of finite sets. Fund. Math., 220(3), 207–216. arXiv: 0808.0535 DOI: 10.4064/fm220-3-2 MR: 3040670 - Sh:935
Shelah, S. (2011). MAD saturated families and SANE player. Canad. J. Math., 63(6), 1416–1435. arXiv: 0904.0816 DOI: 10.4153/CJM-2011-057-1 MR: 2894445 - Sh:936
Enayat, A., & Shelah, S. (2011). An improper arithmetically closed Borel subalgebra of \mathcal P(\omega)\bmod\mathrm{FIN}. Topology Appl., 158(18), 2495–2502. DOI: 10.1016/j.topol.2011.08.006 MR: 2847322 - Sh:937
Shelah, S. (2011). Models of expansions of \mathbb N with no end extensions. MLQ Math. Log. Q., 57(4), 341–365. arXiv: 0808.2960 DOI: 10.1002/malq.200910129 MR: 2832642 - Sh:938
Shelah, S. (2012). PCF arithmetic without and with choice. Israel J. Math., 191(1), 1–40. arXiv: 0905.3021 DOI: 10.1007/s11856-012-0026-z MR: 2970861 - Sh:939
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Baldwin, J. T., & Shelah, S. (2014). A Hanf number for saturation and omission: the superstable case. MLQ Math. Log. Q., 60(6), 437–443. DOI: 10.1002/malq.201300022 MR: 3274973 - Sh:993
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Malliaris, M., & Shelah, S. (2015). Constructing regular ultrafilters from a model-theoretic point of view. Trans. Amer. Math. Soc., 367(11), 8139–8173. arXiv: 1204.1481 DOI: 10.1090/S0002-9947-2015-06303-X MR: 3391912 - Sh:997
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Komjáth, P., & Shelah, S. (2021). Monocolored topological complete graphs in colorings of uncountable complete graphs. Acta Math. Hungar., 163(1), 71–84. DOI: 10.1007/s10474-020-01125-3 MR: 4217959 - Sh:1191
Mildenberger, H., & Shelah, S. (2021). Higher Miller forcing may collapse cardinals. J. Symb. Log., 86(4), 1721–1744. DOI: 10.1017/jsl.2021.90 MR: 4362933 - Sh:1192
Kaplan, I., Ramsey, N., & Shelah, S. (2021). Criteria for exact saturation and singular compactness. Ann. Pure Appl. Logic, 172(9), Paper No. 102992, 28. arXiv: 2003.00597 DOI: 10.1016/j.apal.2021.102992 MR: 4264145 - Sh:1193
Shelah, S., & Soukup, L. (2023). On \kappa-homogeneous, but not \kappa-transitive permutation groups. J. Symb. Log., 88(1), 363–380. arXiv: 2003.02023 DOI: 10.1017/jsl.2021.63 MR: 4550395 - Sh:1194
Shelah, S., & Väänänen, J. A. (2023). Positive logics. Arch. Math. Logic, 62(1-2), 207–223. arXiv: 2008.01145 DOI: 10.1007/s00153-022-00837-3 MR: 4535931 - Sh:1196
Halevi, Y., Kaplan, I., & Shelah, S. (2022). Infinite stable graphs with large chromatic number. Trans. Amer. Math. Soc., 375(3), 1767–1799. arXiv: 2007.12139 DOI: 10.1090/tran/8570 MR: 4378079 - Sh:1197
Kaplan, I., Ramsey, N., & Shelah, S. (2023). Exact saturation in pseudo-elementary classes for simple and stable theories. J. Math. Log., 23(2), Paper No. 2250020, 26. arXiv: 2009.08365 DOI: 10.1142/S0219061322500209 MR: 4575271 - Sh:1198
Golshani, M., & Shelah, S. (2023). On slow minimal reals I. Proc. Amer. Math. Soc., 151(10), 4527–4536. arXiv: 2010.10812 DOI: 10.1090/proc/16397 MR: 4643336 - Sh:1199
Goldstern, M., Kellner, J., Mejı́a, D. A., & Shelah, S. (2021). Preservation of splitting families and cardinal characteristics of the continuum. Israel J. Math., 246(1), 73–129. arXiv: 2007.13500 DOI: 10.1007/s11856-021-2237-7 MR: 4358274 - Sh:1201
Mühlherr, B., Paolini, G., & Shelah, S. (2022). First-order aspects of Coxeter groups. J. Algebra, 595, 297–346. arXiv: 2010.13161 DOI: 10.1016/j.jalgebra.2021.12.033 MR: 4359398 - Sh:1202
Farah, I., & Shelah, S. (2022). Between reduced powers and ultrapowers, II. Trans. Amer. Math. Soc., 375(12), 9007–9034. arXiv: 2011.07352 DOI: 10.1090/tran/8777 MR: 4504659 - Sh:1203
Brian, W., Dow, A. S., & Shelah, S. (2022). The independence of GCH and a combinatorial principle related to Banach-Mazur games. Arch. Math. Logic, 61(1-2), 1–17. arXiv: 2011.01273 DOI: 10.1007/s00153-021-00770-x MR: 4380012 - Sh:1205
Paolini, G., & Shelah, S. (2024). Torsion-free abelian groups are Borel complete. Ann. Of Math. (2), 199(3), 1177–1224. arXiv: 2102.12371 DOI: 10.4007/annals.2024.199.3.4 MR: 4740538 - Sh:1206
Malliaris, M., & Shelah, S. (2024). New simple theories from hypergraph sequences. Model Theory, 3(2), 449–464. arXiv: 2108.05526 DOI: 10.2140/mt.2024.3.449 - Sh:1207
Kumar, A., & Shelah, S. (2023). Large Turing independent sets. Proc. Amer. Math. Soc., 151(1), 355–367. DOI: 10.1090/proc/16081 MR: 4504631 - Sh:1209
Shelah, S., & Strüngmann, L. H. (2021). Infinite Combinatorics in Mathematical Biology. BioSystems, 204, 14. DOI: 10.1016/j.biosystems.2021.104392 - Sh:1211
Halevi, Y., Kaplan, I., & Shelah, S. (2024). Infinite Stable Graphs With Large Chromatic Number II. J. Eur. Math. Soc. (JEMS), 26(12), 4585–4614. arXiv: 2103.13931 DOI: 10.4171/JEMS/1352 - Sh:1212
Shelah, S., & Steprāns, J. (2024). Some variations on the splitting number. Ann. Pure Appl. Logic, 175(1, part B), Paper No. 103321, 28. DOI: 10.1016/j.apal.2023.103321 MR: 4646722 - Sh:1213
Juhász, I., Shelah, S., Soukup, L., & Szentmiklóssy, Z. (2023). Large strongly anti-Urysohn spaces exist. Topology Appl., 323, Paper No. 108288, 15. arXiv: 2106.00618 DOI: 10.1016/j.topol.2022.108288 MR: 4518085 - Sh:1214
Paolini, G., & Shelah, S. (2023). On the existence of uncountable Hopfian and co-Hopfian abelian groups. Israel J. Math., 257(2), 533–560. arXiv: 2107.11290 DOI: 10.1007/s11856-023-2534-4 MR: 4682928 - Sh:1215
Golshani, M., & Shelah, S. (2023). The Keisler-Shelah isomorphism theorem and the continuum hypothesis. Fund. Math., 260(1), 59–66. arXiv: 2108.03977 MR: 4516185 - Sh:1216
Golshani, M., & Shelah, S. (2024). Usuba’s principle UB_\lambda can fail at singular cardinals. J. Symbolic Logic, 89(1), 195–203. arXiv: 2107.09339 DOI: 10.1017/jsl.2023.61 - Sh:1218
Malliaris, M., & Shelah, S. (2024). Some simple theories from a Boolean algebra point of view. Ann. Pure Appl. Logic, 175(1, part B), Paper No. 103345, 35. arXiv: 2108.05314 DOI: 10.1016/j.apal.2023.103345 MR: 4646737 - Sh:1219
Benhamou, T., Garti, S., & Shelah, S. (2023). Kurepa trees and the failure of the Galvin property. Proc. Amer. Math. Soc., 151(3), 1301–1309. arXiv: 2111.11823 DOI: 10.1090/proc/16198 MR: 4531656 - Sh:1220
Halbeisen, L. J., Plati, R., Schumacher, S., & Shelah, S. (2023). Four cardinals and their relations in ZF. Ann. Pure Appl. Logic, 174(2), Paper No. 103200, 17. arXiv: 2109.11315 DOI: 10.1016/j.apal.2022.103200 MR: 4498208 - Sh:1221
Malliaris, M., & Shelah, S. (2023). Shearing in some simple rank one theories. Israel J. Math., 257(2), 481–518. arXiv: 2109.12642 DOI: 10.1007/s11856-023-2547-z MR: 4682926 - Sh:1222
Malliaris, M., & Shelah, S. (2024). The Turing degrees and Keisler’s order. J. Symb. Log., 89(1), 331–341. DOI: 10.1017/jsl.2022.63 MR: 4725678 - Sh:1223
Golshani, M., & Shelah, S. (2023). The Keisler-Shelah isomorphism theorem and the continuum hypothesis II. Monatshefte Fur Mathematik, 201, 789–801. arXiv: 2112.15468 MR: 4595008 - Sh:1225
Fischer, V., & Shelah, S. (2022). The spectrum of independence, II. Ann. Pure Appl. Logic, 173(9), Paper No. 103161. DOI: 10.1016/j.apal.2022.103161 MR: 4452678 - Sh:1228
Dow, A. S., & Shelah, S. (2023). S-spaces and large continuum. Topology Appl., 333, Paper No. 108526, 18. arXiv: 2206.11122 DOI: 10.1016/j.topol.2023.108526 MR: 4579945 - Sh:1232
Asgharzadeh, M., Golshani, M., & Shelah, S. (2023). Co-Hopfian and boundedly endo-rigid mixed abelian groups. PACIFIC JOURNAL OF MATHEMATICS, 327(2), 183–232. arXiv: 2210.17210 DOI: 10.2140/pjm.2023.327.183 - Sh:1233
Corson, S. M., & Shelah, S. (2024). On projections of the tails of a power. Forum Math., 36(4), 955–971. arXiv: 2211.13749 DOI: 10.1515/forum-2022-0375 MR: 4767367 - Sh:1243
Halbeisen, L. J., Plati, R., & Shelah, S. (2024). Implications of Ramsey choice principles in ZF. MLQ Math. Log. Q., 70(2), 255–261. arXiv: 2306.00743 MR: 4788366 - Sh:1244
Baldwin, J. T., Laskowski, M. C., & Shelah, S. (2024). When does \aleph_1-categoricity imply \omega-stability? Model Theory, 3(3), 801–823. arXiv: 2308.13942 DOI: 10.2140/mt.2024.3.801 MR: 4785152 - Sh:E3
Shelah, S. (1996). On some problems in general topology. In Set theory (Boise, ID, 1992–1994), Vol. 192, Amer. Math. Soc., Providence, RI, pp. 91–101. arXiv: 0708.1981 DOI: 10.1090/conm/192/02352 MR: 1367138 - Sh:E9
Shelah, S. (1996). Remarks on \aleph_1-CWH not CWH first countable spaces. In Set theory (Boise, ID, 1992–1994), Vol. 192, Amer. Math. Soc., Providence, RI, pp. 103–145. arXiv: math/9408202 DOI: 10.1090/conm/192/02353 MR: 1367139 - Sh:E33
Shelah, S., & Soifer, A. (2003). Axiom of choice and chromatic number of the plane. J. Combin. Theory Ser. A, 103(2), 387–391. DOI: 10.1016/S0097-3165(03)00102-X MR: 1996076 - Sh:E33a
Shelah, S., & Soifer, A. (2003). Chromatic number of the plane. III. Its future. Geombinatorics, 13(1), 41–46. MR: 1985343 - Sh:E33b
Shelah, S., & Soifer, A. (2004). How the axiom of choice can affect the chromatic number of distance graphs: three examples on the plane. In Proceedings of the Thirty-Fifth Southeastern International Conference on Combinatorics, Graph Theory and Computing, Vol. 166, pp. 5–9. MR: 2121999 - Sh:E51
Shelah, S., & Soifer, A. (2004). Axiom of choice and chromatic number: examples on the plane. J. Combin. Theory Ser. A, 105(2), 359–364. DOI: 10.1016/j.jcta.2004.01.001 MR: 2046089 - Sh:E87
Goldstern, M., Kellner, J., Mejı́a, D. A., & Shelah, S. (2022). Controlling classical cardinal characteristics while collapsing cardinals. Colloq. Math., 170(1), 115–144. arXiv: 1904.02617 DOI: 10.4064/cm8420-2-2022 MR: 4460218
Accepted research papers
Research articles (co)authored by S. Shelah accepted in peer reviewed journals.
- Sh:1019
Shelah, S. Model theory for a compact cardinal. Israel J. Math. To appear. arXiv: 1303.5247 - Sh:1108
Paolini, G., & Shelah, S. The strong small index property for free homogeneous structures. In Research Trends in Contemporary Logic. To appear. arXiv: 1703.10517 - Sh:1125
Golshani, M., & Shelah, S. On C^s_n(\kappa) and the Juhasz-Kunen question. Notre Dame J. Formal Logic. To appear. arXiv: 1709.06249 - Sh:1210
Kostana, Z., & Shelah, S. Slicing axiom. Proceedings of the AMS. To appear. arXiv: 2102.11666 - Sh:1224
Kellner, J., Latif, A., & Shelah, S. On automorphisms of \mathcal P(\lambda)/[\lambda]^{<\lambda}. J. Symbolic Logic. To appear. arXiv: 2206.02228
Articles in preparation
Preprints (co)authored by S. Shelah (intended for publication).
- Sh:259
Grossberg, R. P., & Shelah, S. On Hanf numbers of the infinitary order property. Preprint. arXiv: math/9809196 - Sh:311
Shelah, S. A more general iterable condition ensuring \aleph_1 is not collapsed. Preprint. arXiv: math/0404221 - Sh:322a
Shelah, S., & Usvyatsov, A. Classification over a predicate — the general case I. Preprint. arXiv: 1910.10811 - Sh:322b
Shelah, S., & Usvyatsov, A. Classification over a predicate — the general case II. Preprint. - Sh:421
Asgharzadeh, M., Golshani, M., & Shelah, S. Kaplansky test problems for R-modules in ZFC. Preprint. arXiv: 2106.13068 - Sh:423
Shelah, S. Compactness spectrum. Preprint. - Sh:538
Shelah, S. Historic iteration with \aleph_\varepsilon-support. Preprint. arXiv: math/9607227 - Sh:550
Larson, P. B., & Shelah, S. 0-1 laws. Preprint. - Sh:555
Scheepers, M., & Shelah, S. Embeddings of partial orders into \omega^\omega. Preprint. - Sh:581
Shelah, S. When 0–1 law hold for G_{n,\bar{p}}, \bar{p} monotonic. Preprint. - Sh:637
Shelah, S. 0.1 Laws: Putting together two contexts randomly. Preprint. - Sh:656
Golshani, M., & Shelah, S. NNR Revisited. Preprint. arXiv: math/0003115 - Sh:670
Rosłanowski, A., & Shelah, S. Norms on possibilities III: strange subsets of the real line. Preprint. - Sh:707
Cardona, M., & Shelah, S. Long iterations for the continuum. Preprint. arXiv: math/0112238 - Sh:798
Shelah, S., & Väänänen, J. A. The \Delta–closure of L(Q_1) is not finitely generated, assuming CH. Preprint. - Sh:800
Shelah, S. On complicated models and compact quantifiers. Preprint. - Sh:810
Shelah, S. The height of the automorphism tower of a group. Preprint. arXiv: math/0405116 - Sh:839
Shelah, S. AEC: weight and p-simplicity. Preprint. arXiv: 2305.01970 - Sh:928
Shelah, S., & Usvyatsov, A. Unstable Classes of Metric Structures. Preprint. arXiv: 0810.0734 - Sh:932
Shelah, S. Maximal failures of sequence locality in a.e.c. Preprint. arXiv: 0903.3614 - Sh:940
Jarden, A., & Shelah, S. Non forking good frames minus local character. Preprint. arXiv: 1105.3674 - Sh:950
Shelah, S. Dependent dreams: recounting types. Preprint. arXiv: 1202.5795 - Sh:966
Jarden, A., & Shelah, S. Existence of uniqueness triples without stability. Preprint. - Sh:986
Haber, S., & Shelah, S. Random graphs and Lindström quantifiers for natural graph properties. Preprint. arXiv: 1510.06574 - Sh:1010
Shelah, S., & Usuba, T. \omega_1-Stationary preserving \sigma-Baire posets of size \aleph_1. Preprint. - Sh:1028p
Shelah, S. clarifications of proofs for the Journal. Preprint. - Sh:1045
Shelah, S. Quite free Abelian groups with prescribed endomorphism ring. Preprint. - Sh:1046
Kumar, A., & Shelah, S. RVM, RVC revisited: Clubs and Lusin sets. Preprint. - Sh:1049
Asgharzadeh, M., Golshani, M., Herden, D., & Shelah, S. On groups well represented as automorphism groups of groups. Preprint. arXiv: 2407.09279 - Sh:1065
Shelah, S., & Ulrich, D. \le_{SP} can have infinitely many classes. Preprint. arXiv: 1804.08523 - Sh:1067
Horowitz, H., & Shelah, S. Saccharinity with ccc. Preprint. arXiv: 1610.02706 - Sh:1073
Larson, P. B., & Shelah, S. On the absoluteness of orbital \omega-stability. Preprint. - Sh:1077
Shelah, S. Random graph: stronger logic but with the zero one law. Preprint. arXiv: 1511.05383 - Sh:1094
Horowitz, H., & Shelah, S. Solovay’s inaccessible over a weak set theory without choice. Preprint. arXiv: 1609.03078 - Sh:1096
Shelah, S. Strong failure of 0-1 law for LFP and the path logics. Preprint. - Sh:1097
Golshani, M., Horowitz, H., & Shelah, S. On the classification of definable ccc forcing notions. Preprint. arXiv: 1610.07553 - Sh:1098
Shelah, S. LF groups, aec amalgamation, few automorphisms. Preprint. arXiv: 1901.09747 - Sh:1100
Shelah, S. Creature iteration for inaccessibles. Preprint. - Sh:1103
Horowitz, H., & Shelah, S. Mad families and non-meager filters. Preprint. arXiv: 1701.02806 - Sh:1113
Horowitz, H., Karagila, A., & Shelah, S. Madness and regularity properties. Preprint. arXiv: 1704.08327 - Sh:1126a
Shelah, S. up to 1 Sept 2021 version of 1126 (simple bold m only. Preprint. - Sh:1128
Garti, S., & Shelah, S. Length and Depth. Preprint. arXiv: 1804.05304 - Sh:1130
Larson, P. B., & Shelah, S. An Extendable structure with a rigid elementary extension. Preprint. arXiv: 1711.07333 - Sh:1170
Rosłanowski, A., & Shelah, S. Borel sets without perfectly many overlapping translations II. In. Preprint. arXiv: 1909.00937 - Sh:1174
Shelah, S. More forcing for no ultrafilters. Preprint. - Sh:1176
Shelah, S. Partition theorems for expanded trees. Preprint. arXiv: 2108.13955 - Sh:1178
Larson, P. B., & Shelah, S. Universally measurable sets may all be \boldsymbol{\Delta}^{1}_{2}. Preprint. arXiv: 2005.10399 - Sh:1182
Golshani, M., & Shelah, S. Iterated Ramsey bounds for the Hales-Jewett numbers; withdrawn. Preprint. arXiv: 1912.08643 - Sh:1183
Baldwin, J. T., Laskowski, M. C., & Shelah, S. An analog of U-rank for atomic classes. Preprint. - Sh:1185
Poór, M., & Shelah, S. Universal graphs between a strong limit singular and its power. Preprint. arXiv: 2201.00741 - Sh:1187
Rosłanowski, A., & Shelah, S. Borel sets without perfectly many overlapping translations, III. Preprint. arXiv: 2009.03471 - Sh:1188
Greenberg, N., Richter, L., Shelah, S., & Turetsky, D. More on bases of uncountable free Abelian groups. Preprint. - Sh:1195
Barnea, I., & Shelah, S. Inverse Limits of left adjoint functors on pointed sets. Preprint. arXiv: 2006.13705 - Sh:1200
Shelah, S. Existence of universal models. Preprint. - Sh:1204
Horowitz, H., & Shelah, S. Abstract Corrected iterations. Preprint. arXiv: 2302.08581 - Sh:1208
Kumar, A., & Shelah, S. Weak projections of the null ideal. Preprint. - Sh:1217
Asgharzadeh, M., Golshani, M., & Shelah, S. Graphs represented by Ext. Preprint. arXiv: 2110.11143 - Sh:1226
Poór, M., & Shelah, S. On the weak Borel chromatic number and cardinal invariants of the continuum. Preprint. arXiv: 2302.10141 - Sh:1227
Golshani, M., & Shelah, S. Adding highly undefinable sets over L. Preprint. arXiv: 2311.02322 - Sh:1229
Golshani, M., & Shelah, S. The measuring principle and the continuum hypothesis. Preprint. arXiv: 2207.08048 - Sh:1230
Dobrinen, N., & Shelah, S. The Halpern–Läuchli Theorem at singular cardinals and failures of weak versions. Preprint. arXiv: 2209.11226 - Sh:1231
Mildenberger, H., & Shelah, S. Tiltan (=club) revisited. Preprint. - Sh:1234
Poór, M., & Shelah, S. Universal graphs at the successors of small singulars. Preprint. - Sh:1235
Kumar, A., & Shelah, S. Turing independence and Baire category. Preprint. - Sh:1236
Garti, S., & Shelah, S. Superclub, splitting, separating statements. Preprint. arXiv: 2302.00904 - Sh:1237
Paolini, G., & Shelah, S. Anti-classification results for rigidity conditions in Abelian and nilpotent groups. Preprint. arXiv: 2303.03778 - Sh:1238
Shelah, S. AEC for strictly stable. Preprint. arXiv: 2305.02020 - Sh:1239
Shelah, S. AEC for strictly stable II. Preprint. - Sh:1240
Rosłanowski, A., & Shelah, S. Borel sets without perfectly many overlapping translations IV. Preprint. arXiv: 2302.12964 - Sh:1241
Shelah, S., & Steprāns, J. Higher Dimensional Universal functions from lower dimensional ones. Preprint. - Sh:1242
Hrušák, M., Shelah, S., & Zhang, J. More Ramsey theory for highly connected monochromatic subgraphs. Preprint. arXiv: 2305.00882 - Sh:1245
Asgharzadeh, M., Golshani, M., & Shelah, S. Naturality and Definability III. Preprint. arXiv: 2309.02090 - Sh:1246
Asgharzadeh, M., Golshani, M., & Shelah, S. Expressive power of infinitary logic and absolute co-Hopfianity. Preprint. arXiv: 2309.16997 - Sh:1247
Kumar, A., & Shelah, S. Remarks on some cardinal invariants and partition relations. Preprint. - Sh:1248
Paolini, G., & Shelah, S. TORSION-FREE ABELIAN GROUPS ARE FAITHFULLY BOREL COMPLETE AND PURE EMBEDDABILITY IS A COMPLETE ANALYTIC QUASI-ORDER. Preprint. - Sh:1249
Garti, S., Hayut, Y., & Shelah, S. On a problem of Erdös and Hajnal. Preprint. - Sh:1250
Haber, S., Hershko, T., Mirabi, M., & Shelah, S. First order logic with equicardinality in random graphs. Preprint. - Sh:1251
Kellner, J., & Shelah, S. Nowhere trivial automorphisms of P(\lambda)/[\lambda]^{<\lambda}, for \lambda inaccessible. Preprint. - Sh:1252
Kostana, Z., Rinot, A., & Shelah, S. Diamond on Kurepa trees. Preprint. arXiv: 2404.02715 - Sh:1253
Garti, S., & Shelah, S. Poésie Aristotélienne. Preprint. - Sh:1254
Paolini, G., & Shelah, S. On non-Archimedean Polish groups. Preprint. - Sh:1255
Corson, S. M., & Shelah, S. Artinian groups of large cardinality. Preprint. arXiv: 2408.03201 - Sh:1256
Halevi, Y., Kaplan, I., & Shelah, S. Infinite Cliques in Simple and Stable Graphs. Preprint. arXiv: 2408.05605 - Sh:1257
Shelah, S. Homogeneous forcing. Preprint. - Sh:E102
Kolman, O., & Shelah, S. Categoricity and amalgamation for AEC and \kappa measurable. Preprint. arXiv: math/9602216
Non-research articles
Published survey articles, opinion pieces, interviews, etc.
- Sh:1151
Shelah, S. (2021). Divide and conquer: dividing lines and universality. Theoria, 87(2), 259–348. DOI: 10.1111/theo.12289 MR: 4329456 - Sh:E16
Shelah, S. (1993). The future of set theory. In Set theory of the reals (Ramat Gan, 1991), Vol. 6, Bar-Ilan Univ., Ramat Gan, pp. 1–12. arXiv: math/0211397 MR: 1234276 - Sh:E23
Shelah, S. (2003). Logical dreams. Bull. Amer. Math. Soc. (N.S.), 40(2), 203–228. arXiv: math/0211398 DOI: 10.1090/S0273-0979-03-00981-9 MR: 1962296 - Sh:E25
Shelah, S. (2002). You can enter Cantor’s paradise! In Paul Erdős and his mathematics, II (Budapest, 1999), Vol. 11, János Bolyai Math. Soc., Budapest, pp. 555–564. arXiv: math/0102056 MR: 1954743 - Sh:E35
Shelah, S. (2008). A bothersome question. Internat. Math. Nachrichten, 208, 27–30. - Sh:E72
Shelah, S. (2013). Dependent classes E72. In European Congress of Mathematics, Eur. Math. Soc., Zürich, pp. 137–157. MR: 3469119 - Sh:E73
Shelah, S. (2014). Reflecting on logical dreams. In Interpreting Gödel, Cambridge Univ. Press, Cambridge, pp. 242–255. MR: 3468189 - Sh:E74
Malliaris, M., & Shelah, S. (2013). General topology meets model theory, on \mathfrak p and \mathfrak t. Proc. Natl. Acad. Sci. USA, 110(33), 13300–13305. DOI: 10.1073/pnas.1306114110 MR: 3105597
Non-peer-reviewed research articles
Abstracts and research articles (co)authored by S. Shelah, published without peer review
- Sh:217
Sageev, G., & Shelah, S. (1986). There are Noetherian domain in every cardinality with free additive groups. Abstracts Amer. Math. Soc., 7, 369. 86T-03-268, 269 arXiv: 0705.4132 - Sh:E4
Shelah, S. (1984). An \aleph _2 Souslin tree from a strange hypothesis. Abstracts Amer. Math. Soc., 160, 198. 84T-03 - Sh:E5
Marcus, L., Redmond, T., & Shelah, S. (1985). Completeness of State Deltas, Aerospace Corporation. Tech. Rep. ATR-85(8354)-5 - Sh:E17
Shelah, S. (1971). Two cardinal and power like models: compactness and large group of automorphisms. Notices Amer. Math. Soc., 18(2), 425. 71 T-El5 - Sh:E30
Shelah, S. (1980). Going to Canossa. Abstracts Amer. Math. Soc., 1, 630. 80T-E85
Corrections
Corrections, clarifications and explanations of other publications.
- Sh:25
Shelah, S. (1973). Errata to: First order theory of permutation groups. Israel Journal of Mathematics, 15, 437–441.
Correction of [Sh:24] - Sh:154a
Shelah, S., & Stanley, L. J. (1986). Corrigendum to: “Generalized Martin’s axiom and Souslin’s hypothesis for higher cardinals” [Israel J. Math. 43 (1982), no. 3, 225–236]. Israel J. Math., 53(3), 304–314. DOI: 10.1007/BF02786563 MR: 852482
corrigendum to [Sh:154] - Sh:240a
Foreman, M. D., Magidor, M., & Shelah, S. (1989). Correction to: “Martin’s maximum, saturated ideals, and nonregular ultrafilters. I” [Ann. of Math. (2) 127 (1988), no. 1, 1–47]. Ann. Of Math. (2), 129(3), 651. DOI: 10.2307/1971520 MR: 997316
correction to [Sh:240] - Sh:326a
Shelah, S. (1992). Erratum to: Vive la différence. I. Nonisomorphism of ultrapowers of countable models. In Set theory of the continuum, Vol. 26, Springer, New York, p. 419. MR: 1233826
Correction of [Sh:326] - Sh:406a
Fremlin, D. H., & Shelah, S. Postscript to Shelah & Fremlin [Sh:406]. Preprint.
strengthens a theorem of [Sh:406] - Sh:446a
Shelah, S. (2020). Retraction of “Baire property and axiom of choice”. Israel J. Math., 240(1), 443. DOI: 10.1007/s11856-020-2083-z MR: 4193139
Retraction of [Sh:446] - Sh:465a
Shelah, S., & Steprāns, J. (1994). Erratum: “Maximal chains in {}^\omega\omega and ultrapowers of the integers” [Arch. Math. Logic 32 (1993), no. 5, 305–319]. Arch. Math. Logic, 33(2), 167–168. arXiv: math/9308202 DOI: 10.1007/BF01352936 MR: 1271434
erratum to [Sh:465] - Sh:533a
Blass, A. R., Gurevich, Y., & Shelah, S. (2001). Addendum to: “Choiceless polynomial time” [Ann. Pure Appl. Logic 100 (1999), no. 1-3, 141–187;MR1711992 (2001a:68036)]. Ann. Pure Appl. Logic, 112(1), 117. DOI: 10.1016/S0168-0072(01)00086-0 MR: 1854233
Correction of [Sh:533] - Sh:559a
Eklof, P. C., & Shelah, S. New non-free Whitehead groups (corrected version). Preprint. arXiv: math/9711221
corrected version of [Sh:559] - Sh:700a
Shelah, S. Are \mathfrak a and \mathfrak d your cup of tea? Revisited. Preprint. arXiv: 2108.03666
Revised version of [Sh:700] - Sh:927a
Baldwin, J. T., Kolesnikov, A. S., & Shelah, S. Correction for “The Amalgamation Spectrum”. Preprint.
Correction of [Sh:927] - Sh:990a
Shelah, S., & Steprāns, J. Non-trivial automorphisms of \mathcal P(\mathbb N)/[\mathbb N]^{<\aleph_0} from variants of small dominating number (corrected). Preprint.
Corrected version of [Sh:990] - Sh:E11
Shelah, S. Also quite large {\frak b}\subseteq {\textrm{pcf}}({\frak a}) behave nicely. Preprint. arXiv: math/9906018
Correction of [Sh:371] - Sh:E12
Shelah, S. Analytical Guide and Updates to [Sh:g]. Preprint. arXiv: math/9906022
Correction of [Sh:g] - Sh:E19a
Džamonja, M., & Shelah, S. (2000). Erratum: “\clubsuit does not imply the existence of a Suslin tree” [Israel J. Math. 113 (1999), 163–204]. Israel J. Math., 119, 379. MR: 1802661
Retraction of [Sh:E19] - Sh:E22
Göbel, R., & Shelah, S. (2001). An addendum and corrigendum to: “Almost free splitters” [Colloq. Math. vol. 81 no. 2, 193–221; MR1715347 (2000m:20092)]. Colloq. Math., 88(1), 155–158. arXiv: math/0009063 DOI: 10.4064/cm88-1-11 MR: 1814921
corrects an error in [Sh:682] - Sh:E28
Shelah, S. Details on [Sh:74]. Preprint.
Details on [Sh:74] - Sh:E54
Shelah, S. Comments to Universal Classes. Preprint.
Comments on [Sh:h]
Retracted publications
Papers that contain serious errors and have therefore been withdrawn.
- Sh:446
Judah, H. I., & Shelah, S. (1993). Retracted: Baire property and axiom of choice. Israel J. Math., 84(3), 435–450. arXiv: math/9211213 DOI: 10.1007/BF02760952 MR: 1244679
See [Sh:446a] - Sh:E19
Džamonja, M., & Shelah, S. (1999). Retracted: \clubsuit does not imply the existence of a Suslin tree. Israel J. Math., 113, 163–204. arXiv: math/9612226 DOI: 10.1007/BF02780176 MR: 1729446
See [Sh:E19a] - Sh:E91
Ben-David, S., & Shelah, S. (1996). Retracted: The two-cardinals transfer property and resurrection of supercompactness. Proc. Amer. Math. Soc., 124(9), 2827–2837. NB: There is a flaw in the proof of the main theorem DOI: 10.1090/S0002-9939-96-03327-8 MR: 1326996
Unpublished notes
Remarks, lecture notes, etc., not intended for publication.
- Sh:360a
Shelah, S. The primal framework. Part C: Premature Minimality. Preprint.
additions to [Sh:360] - Sh:532
Shelah, S. Borel rectangles. Preprint. - Sh:804
Matet, P., & Shelah, S. Positive partition relations for P_\kappa(\lambda). Preprint. arXiv: math/0407440 - Sh:969a
Goldstern, M., Kellner, J., Shelah, S., & Wohofsky, W. An overview of the proof in Borel Conjecture and Dual Borel Conjecture. Preprint. arXiv: 1112.4424
Explanation to [Sh:969] - Sh:1018
Shelah, S. Compactness of chromatic number II. Preprint. arXiv: 1302.3431 - Sh:E6
Bartoszyński, T., & Shelah, S. Borel conjecture and 2^{\aleph_0}>\aleph_2. included in Bartoszynski Judah “Set theory. On the structure of the real line” (1995) in 8.3.B Preprint. - Sh:E13
Goldstern, M., & Shelah, S. A cardinal invariant related to homogeneous families. Preprint. arXiv: math/9707201 - Sh:E20
Shelah, S. A continuation of [Sh:691]. Preprint. arXiv: math/9912165
[Sh:691] - Sh:E29
Shelah, S. 3 lectures on pcf. Preprint. - Sh:E34
Shelah, S. On model completion of T_{\mathrm{aut}}. Preprint. arXiv: math/0404180 - Sh:E36
Shelah, S. Good Frames. Preprint. - Sh:E39
Kanovei, V., Reeken, M., & Shelah, S. Fully saturated extensions of standard universe. Preprint. - Sh:E40
Shelah, S. A collection of abstracts of Shelah’s Papers. Preprint. arXiv: 2209.01617 - Sh:E43
Shelah, S. Revised GCH. Preprint. - Sh:E47
Shelah, S., & Väänänen, J. A. On the Method of Identities. Preprint. - Sh:E50
Firstenberg, E., & Shelah, S. Perpendicular Indiscernible Sequences in Real Closed Fields. Preprint. arXiv: 1208.1302 - Sh:E52
Shelah, S. Consistency of “the ideal of null restricted to some A is \kappa–complete not \kappa^+–complete, \kappa weakly inaccessible and {\mathrm{cov}}({\mathrm{meagre}})=\aleph_1”. Preprint. arXiv: math/0504201 - Sh:E56
Shelah, S. Density is at most the spread of the square. Preprint. arXiv: 0708.1984 - Sh:E64
Gruenhut, E., & Shelah, S. Abstract matrix-tree. Preprint. - Sh:E65
Cohen, M., & Shelah, S. Ranks for strongly dependent theories. Preprint. arXiv: 1303.3441 - Sh:E66
Shelah, S. Selected Papers of Abraham Robinson. Preprint. - Sh:E67
Shelah, S. Forcing is Great. Preprint. - Sh:E68
Shelah, S. Inner product space with no ortho-normal basis without choice. Preprint. arXiv: 1009.1441 - Sh:E69
Shelah, S. PCF: The Advanced PCF Theorems. Preprint. arXiv: 1512.07063 - Sh:E70
Shelah, S. (2012). On Model Theory (from: Plenary speakers answer two questions). Wiad. Mat., 48(2), 59–65. arXiv: 1208.1301 https://wydawnictwa.ptm.org.pl/index.php/wiadomosci-matematyczne/article/view/321/326 - Sh:E71
Shelah, S. ECM presentation: Classifying classes of structures in model theory. Preprint. - Sh:E75
Shelah, S. Categoricity of Classes of Models. Preprint. - Sh:E76
Shelah, S. On reaping number having countable cofinality. Preprint. arXiv: 1401.4649 - Sh:E78
Shelah, S. From spring 1979 collection of preprints. Preprint. - Sh:E79
Shelah, S. There may exist a unique Ramsey ultrafilter. Preprint. - Sh:E80
Shelah, S. Countably closed in ccc extension. Preprint. http://mathoverflow.net/questions/193522/#199287 - Sh:E81
Shelah, S. Bigness properties for \kappa-trees and linear order. Preprint. - Sh:E82
Shelah, S. Bounding forcing with chain conditions for uncountable cardinals. Preprint. - Sh:E83
Dow, A. S., & Shelah, S. (2023). On the bounding, splitting, and distributivity number. Comment. Math. Univ. Carolin., 64(3), 331–351. arXiv: 2202.00372 - Sh:E88
Shelah, S. (2021). Applying set theory. Axioms. DOI: 10.3390/axioms10040329 - Sh:E89
Larson, P. B., & Shelah, S. The number of models of a fixed Scott rank, for a counterexample to the analytic Vaught conjecture. Preprint. arXiv: 1903.09753 - Sh:E90
Shelah, S. (2020). Struggling with the Size of Infinity — The Paul Bernays lectures 2020, ETH Zürich. supplementary material for the talks, which can be found at https://video.ethz.ch/speakers/bernays/2020.html - Sh:E93
Shelah, S. (1988). Classifying general classes, 1 videocassette (NTSC; 1/2 inch; VHS) (60 min.); sd., col; American Mathematical Society, Providence, RI. A plenary address presented at the International Congress of Mathematicians held in Berkeley, California, August 1986, Introduced by Ronald L. Graham MR: 1055086 - Sh:E94
Shelah, S. Power set modulo small, the singular of uncountable cofinality. Preprint. - Sh:E98
Malliaris, M., & Shelah, S. (2021). Notes on the stable regularity lemma. Bull. Symb. Log., 27(4), 415–425. arXiv: 2012.09794 DOI: 10.1017/bsl.2021.69 MR: 4386783 - Sh:E99
Shelah, S. (1973). On the monadic (second order) theory of order. Notices A.M.S., 19, A–22. - Sh:E100
Shelah, S. (1973). On the monadic theory of order II. Notices A.M.S., 19, A–282. - Sh:E101
Shelah, S. Colouring sucessor of regular, more on [1163]. Preprint. - Sh:E103
Shelah, S. Theories with minimal universality spectrum. Preprint. - Sh:E104
Shelah, S. Non P-point preserved by many. Preprint. - Sh:E105
Sageev, G., & Shelah, S. There are Noetherian domains in every cardinality with free additive groups. Preprint. - Sh:E106
Shelah, S. Lecture on: Categoricity of atomic classes in small cardinals in ZFC. Preprint.
[Sh:F2195] - Sh:E107
Shelah, S. Some results in set theory. Preprint. - Sh:E108
Shelah, S. Stable frames and weights. Preprint. arXiv: 2304.04467 - Sh:E109
Sageev, G., & Shelah, S. (1986). There are Noether Noetherian. domain in every cardinality with free additive groups. Abstracts Amer. Math. Soc., 7, 369. 86T-03-268, 269. Preprint. - Sh:E110
Shelah, S. Notes on ESTS lecture Logical dreams 2023. Preprint. - Sh:E111
Shelah, S. Strong Covering Lemma and Ch in \mathbf{V} [r]. Preprint. - Sh:E112
Shelah, S. countable union of scattered linear orders. Preprint.
Texts in other authors' publications
Appendices (with new mathematics), and forewords.
- Sh:395
Shelah, S. (1990). Appendix to: Small uncountable cardinals and topology by Jerry E. Vaughan, North-Holland, Amsterdam, pp. 217–218. MR: 1078647 - Sh:E21
Shelah, S. (2002). On a Question of Grinblat (Appendix to: Algebras of sets and combinatorics, by L. Grinblat), American Mathematical Society, Providence, RI, pp. 247–250. arXiv: math/9912163 MR: 1923171 - Sh:E84
Shelah, S. (2017). Foreword to: Beyond first order model theory. (J. Iovino, Ed.), CRC Press, Boca Raton, FL, pp. xi–xii. MR: 3726900 - Sh:E92
Shelah, S. (1998). Foreword to: The incompleteness phenomenon by Martin Goldstern and Haim Judah, A K Peters, Ltd., Natick, MA, p. viii. MR: 1690312
Parts of books
Preprints that are now (sometimes in changed form) part of a book (or another article).
- Sh:88a
Shelah, S. (1985). Appendix. In Classification of nonelementary classes. II. Abstract elementary classes., pp. 483–495.
appendix of [Sh:88] - Sh:88r
Shelah, S. (2009). Abstract elementary classes near \aleph_1. In Classification theory for abstract elementary classes, Vol. 18, College Publications, London, p. vi+813. arXiv: 0705.4137
Ch. I of [Sh:h] - Sh:171
Shelah, S. (1986). Classifying generalized quantifiers. In Around classification theory of models, Vol. 1182, Springer, Berlin, pp. 1–46. DOI: 10.1007/BFb0098504 MR: 850052
Part of [Sh:d] - Sh:197
Shelah, S. (1986). Monadic logic: Hanf numbers. In Around classification theory of models, Vol. 1182, Springer, Berlin, pp. 203–223. DOI: 10.1007/BFb0098511 MR: 850059
Part of [Sh:d] - Sh:212
Shelah, S. (1986). The existence of coding sets. In Around classification theory of models, Vol. 1182, Springer, Berlin, pp. 188–202. DOI: 10.1007/BFb0098510 MR: 850058
Part of [Sh:d] - Sh:228
Shelah, S. (1986). On the \mathrm{no}(M) for M of singular power. In Around classification theory of models, Vol. 1182, Springer, Berlin, pp. 120–134. DOI: 10.1007/BFb0098507 MR: 850055
Part of [Sh:d] - Sh:229
Shelah, S. (1986). Existence of endo-rigid Boolean algebras. In Around classification theory of models, Vol. 1182, Springer, Berlin, pp. 91–119. arXiv: math/9201238 DOI: 10.1007/BFb0098506 MR: 850054
Part of [Sh:d] - Sh:232
Shelah, S. (1986). Nonstandard uniserial module over a uniserial domain exists. In Around classification theory of models, Vol. 1182, Springer, Berlin, pp. 135–150. DOI: 10.1007/BFb0098508 MR: 850056
Part of [Sh:d] - Sh:233
Shelah, S. (1986). Remarks on the numbers of ideals of Boolean algebra and open sets of a topology. In Around classification theory of models, Vol. 1182, Springer, Berlin, pp. 151–187. DOI: 10.1007/BFb0098509 MR: 850057
Part of [Sh:d] - Sh:234
Shelah, S. (1986). Classification over a predicate. II. In Around classification theory of models, Vol. 1182, Springer, Berlin, pp. 47–90. DOI: 10.1007/BFb0098505 MR: 850053
Part of [Sh:d] - Sh:237a
Shelah, S. (1986). On normal ideals and Boolean algebras. In Around classification theory of models, Vol. 1182, Springer, Berlin, pp. 247–259. DOI: 10.1007/BFb0098513 MR: 850061
Part of [Sh:d] - Sh:237b
Shelah, S. (1986). A note on \kappa-freeness of abelian groups. In Around classification theory of models, Vol. 1182, Springer, Berlin, pp. 260–268. DOI: 10.1007/BFb0098514 MR: 850062
Part of [Sh:d] - Sh:237c
Shelah, S. (1986). On countable theories with models—homogeneous models only. In Around classification theory of models, Vol. 1182, Springer, Berlin, pp. 269–271. DOI: 10.1007/BFb0098515 MR: 850063
Part of [Sh:d] - Sh:237d
Shelah, S. (1986). On decomposable sentences for finite models. In Around classification theory of models, Vol. 1182, Springer, Berlin, pp. 272–275. DOI: 10.1007/BFb0098516 MR: 850064
Part of [Sh:d] - Sh:237e
Shelah, S. (1986). Remarks on squares. In Around classification theory of models, Vol. 1182, Springer, Berlin, pp. 276–279. DOI: 10.1007/BFb0098517 MR: 850065
Part of [Sh:d] - Sh:247
Shelah, S. (1986). More on stationary coding. In Around classification theory of models, Vol. 1182, Springer, Berlin, pp. 224–246. DOI: 10.1007/BFb0098512 MR: 850060
Part of [Sh:d] - Sh:282a
Shelah, S. (1994). Colorings. In D. M. Gabbay, A. Macintyre, & D. Scott, eds., Cardinal Arithmetic, Vol. 29, Oxford University Press.
Apdx. 1 of [Sh:g] - Sh:300a
Shelah, S. (2009). Universal Classes: Stability theory for a model. In Classification Theory for Abstract Elementary Classes II.
Ch. V of [Sh:i] - Sh:300b
Shelah, S. (2009). Universal Classes: Axiomatic Framework [Sh:h]. In Classification Theory for Abstract Elementary Classes II.
Ch. V (B) of [Sh:i] - Sh:300c
Shelah, S. (2009). Universal Classes: A frame is not smooth or not \chi-based. In Classification Theory for Abstract Elementary Classes II.
Ch. V (C) of [Sh:i] - Sh:300d
Shelah, S. (2009). Universal Classes: Non-Forking and Prime Modes. In Classification Theory for Abstract Elementary Classes II.
Ch. V (D) of [Sh:i] - Sh:300e
Shelah, S. (2009). Universal Classes: Types of finite sequences. In Classification Theory for Abstract Elementary Classes II.
Ch. V (E) of [Sh:i] - Sh:300f
Shelah, S. (2009). Universal Classes: The heart of the matter. In Classification Theory for Abstract Elementary Classes II.
Ch. V (F) of [Sh:i] - Sh:300g
Shelah, S. (2009). Universal Classes: Changing the framework. In Classification Theory for Abstract Elementary Classes II.
Ch. V (G) of [Sh:i] - Sh:300x
Shelah, S. (2009). Bibliography. In Classification Theory for Abstract Elementary Classes.
Bibliography for [Sh:h] - Sh:300z
Shelah, S. (2009). Annotated Contents. In Classification Theory for Abstract Elementary Classes [Sh:h].
Annotated Contents for [Sh:i] - Sh:309
Shelah, S. (2022). Black boxes. Ann. Univ. Sci. Budapest. Eötvös Sect. Math., 65, 69–130. arXiv: 0812.0656 MR: 4636538
Ch. IV of The Non-Structure Theory" book [Sh:e] - Sh:331
Shelah, S. A complicated family of members of trees with \omega +1 levels. Preprint. arXiv: 1404.2414
Ch. VI of The Non-Structure Theory" book [Sh:e] - Sh:333
Shelah, S. (1994). Bounds on Power of singulars: Induction. In Cardinal Arithmetic, Vol. 29, Oxford University Press.
Ch. VI of [Sh:g] - Sh:345a
Shelah, S. (1994). Basic: Cofinalities of small reduced products. In Cardinal Arithmetic, Vol. 29, Oxford University Press.
Ch. I of [Sh:g] - Sh:345b
Shelah, S. (1994). Entangled Orders and Narrow Boolean Algebras. In Cardinal Arithmetic, Vol. 29, Oxford University Press.
Apdx. 2 of [Sh:g] - Sh:355
Shelah, S. (1994). \aleph _{\omega +1} has a Jonsson Algebra. In Cardinal Arithmetic, Vol. 29, Oxford University Press.
Ch. II of [Sh:g] - Sh:363
Shelah, S. On spectrum of \kappa-resplendent models. Preprint. arXiv: 1105.3774
Ch. V of [Sh:e] - Sh:365
Shelah, S. (1994). There are Jonsson algebras in many inaccessible cardinals. In Cardinal Arithmetic, Vol. 29, Oxford University Press.
Ch. III of [Sh:g] - Sh:371
Shelah, S. (1994). Advanced: cofinalities of small reduced products. In Cardinal Arithmetic, Vol. 29, Oxford University Press.
Ch. VIII of [Sh:g]
See [Sh:E11] - Sh:380
Shelah, S. (1994). Jonsson Algebras in an inaccessible \lambda not \lambda-Mahlo. In Cardinal Arithmetic, Vol. 29, Oxford University Press.
Ch. IV of [Sh:g] - Sh:384
Shelah, S. Compact logics in ZFC: Constructing complete embeddings of atomless Boolean rings. Preprint.
Ch. X of “The Non-Structure Theory" book [Sh:e] - Sh:386
Shelah, S. (1994). Bounding pp(\mu ) when cf(\mu ) > \mu > \aleph _0 using ranks and normal ideals. In Cardinal Arithmetic, Vol. 29, Oxford University Press.
Ch. V of [Sh:g] - Sh:400
Shelah, S. (1994). Cardinal Arithmetic. In Cardinal Arithmetic, Vol. 29, Oxford University Press.
Ch. IX of [Sh:g] - Sh:482
Shelah, S. Compactness of the Quantifier on “Complete embedding of BA’s”. Preprint. arXiv: 1601.03596
Ch. XI of "The Non-Structure Theory" book [Sh:e] - Sh:511
Shelah, S. Building complicated index models and Boolean algebras. Preprint. arXiv: 2401.15644
Ch. VII of [Sh:e] - Sh:600
Shelah, S. (2009). Categoricity in abstract elementary classes: going up inductively. In Classification Theory for Abstract Elementary Classes. arXiv: math/0011215
Ch. II of [Sh:h] - Sh:705
Shelah, S. (2009). Toward classification theory of good \lambda frames and abstract elementary classes. In Classification Theory for Abstract Elementary Classes. arXiv: math/0404272
Ch. III of [Sh:h] - Sh:734
Shelah, S. (2009). Categoricity and solvability of A.E.C., quite highly. In Classification Theory for Abstract Elementary Classes. arXiv: 0808.3023
Ch. IV of [Sh:h] - Sh:838
Shelah, S. (2009). Non-structure in \lambda^{++} using instances of WGCH. In Classification theory for abstract elementary classes II. arXiv: 0808.3020
Ch. VII of [Sh:i] - Sh:E8
Shelah, S. A note on \kappa-freeness. Now in [Sh:d] pp. 260–268 Preprint. arXiv: math/0404207
Part of [Sh:d] - Sh:E46
Shelah, S. (2009). Categoricity of an abstract elementary class in two successive cardinals, revisited. In Classification Theory for Abstract Elementary Classes II.
Ch. 6 of [Sh:i] - Sh:E53
Shelah, S. Introduction and Annotated Contents. Preprint. arXiv: 0903.3428
introduction of [Sh:h] - Sh:E58
Shelah, S. Existence of endo-rigid Boolean Algebras. Preprint. arXiv: 1105.3777
Ch. I of [Sh:e] - Sh:E59
Shelah, S. General non-structure theory and constructing from linear orders; to appear in Beyond first order model theory II. Preprint. arXiv: 1011.3576
Ch. III of The Non-Structure Theory" book [Sh:e] - Sh:E60
Shelah, S. Constructions with instances of GCH: applying. Preprint.
Ch. VIII of [Sh:e] - Sh:E61
Shelah, S. Constructions with instances of GCH: proving. Preprint.
part of Ch. IX of [Sh:e] - Sh:E62
Shelah, S. Combinatorial background for Non-structure. Preprint. arXiv: 1512.04767
Appendix of [Sh:e] - Sh:E63
Shelah, S. Quite Complete Real Closed Fields revisited. Preprint.
part of Ch. 9 of [Sh:e] - Sh:E95a
Horowitz, H., & Shelah, S. Can you take Toernquist’s inaccessible away? Preprint. arXiv: 1605.02419
Has been incorporated (as one of two parts) into [Sh:1090] - Sh:E95b
Horowitz, H., & Shelah, S. Maximal independent sets in Borel graphs and large cardinals. Preprint. arXiv: 1606.04765
Has been incorporated (as one of two parts) into [Sh:1090]
Preliminary versions, reprints
Published papers that are preliminary versions or a reprint of a journal publication
- Sh:54a
Shelah, S. (1978). The lazy model theorist’s guide to stability. In Six days of model theory, ed. P. Henrard, Paul Castella, Switzerland 1661 Albeuve, pp. 9–76.
Reprint of [Sh:54] - Sh:244
Gurevich, Y., & Shelah, S. (1985). Fixed-point extensions of first-order logic. In 26th Annual Symposium on Foundations of Computer Science (sfcs 1985), IEEE Computer Science Society Press, pp. 346–353. DOI: 10.1109/SFCF.1985.27
Conference proceedings version of [Sh:244a] - Sh:E85
Fuchino, S., & Shelah, S. (2001). Models of real-valued measurability. Sūrikaisekikenkyūsho Kōkyūroku, (1202), 38–60. Axiomatic set theory (Japanese) (Kyoto, 2000) MR: 1855549
Preliminary version of [Sh:763] - Sh:E86
Shelah, S., & Shioya, M. (2001). Nonreflecting stationary sets in \mathcal{P}_\kappa\lambda. Sūrikaisekikenkyūsho Kōkyūroku, (1202), 61–65. Axiomatic set theory (Japanese) (Kyoto, 2000) MR: 1855550
Preliminary version of [Sh:764] - Sh:E113
Shelah, S. (2023). Classification theory, Vol. 98, College Publications, [London], p. xxxiv+705. MR: 4627663
Second edition (with a new introduction) of [Sh:c]