%%% List of "external" references.
%% (Includes all entries from the bibliography for "Cardarith",
%% and pif.
% when adding papers, please respect the lexicographic order
@string{fm = "Fundamenta Mathematicae"}
@string{bams = "Bulletin of the AMS"}
@string{tams = "Transactions of the AMS"}
@string{pams = "Proceedings of the AMS"}
%%% List of "external" references.
%% (Includes all entries from the bibliography for "Cardarith",
%% and pif.)
% when adding papers, please respect the lexicographic order
@string{fm = "Fundamenta Mathematicae"}
@string{bams = "Bulletin of the AMS"}
@string{tams = "Transactions of the AMS"}
@string{pams = "Proceedings of the AMS"}
@article{AbVi,
author = {Abiteboul, Serge and Vianu, Victor},
title = {{Generic Computation and its Complexity}},
journal = {ACM Symposium on Theory of Computing},
year = {1991},
pages = {209--219},
},
@phdthesis{A,
author = {Uri Abraham},
title = {{Isomorphisms of Aronszajn trees and forcing without the
generalized continuum hypothesis {\rm (in Hebrew)}}},
school = {The Hebrew University, Jerusalem},
year = {1979},
usedin = {cardarith},
},
@book{AAC90,
author = {D.L. Alben and G.L. Alexanderson and C. Reid (editors)},
title = {{More Mathematical People}},
publisher = {Harcourt Brace Jovanovich},
year = {1990},
},
@inCollection{Ab0xp,
author = {Uri Abraham},
title = {{Lectures on proper forcing}},
booktitle = {Handbook of Set Theory},
editor = {A. Kanamori, M. Foreman and M. Magidor},
publisher = {},
year = {},
pages = {},
},
@incollection{Ab10,
author = {Abraham, Uri},
title = {Proper forcing},
volume = {1},
year = {2010},
pages = {333--394},
booktitle = {Handbook of Set Theory},
publisher = {Springer},
editor = {Matthew Foreman and Akihiro Kanamori},
},
@incollection{AbMg10,
author = {Abraham, Uri and Magidor, Menachem},
title = {Cardinal Arithmetic},
volume = {1,2,3},
year = {2010},
pages = {1149--1227},
booktitle = {Handbook of Set Theory},
publisher = {Springer, Dordrecht},
editor = {Matthew Foreman and Akihiro Kanamori},
},
@article{AbTo97,
author = {Uri Abraham and Stevo Todor\v{c}evi\'{c}},
title = {{Partition properties of $\omega_1$ compatible with CH}},
journal = {{Fundamenta Mathematicae}},
volume = {152},
year = {1997},
pages = {165--181},
},
@article{Ab83,
author = {Uri Abraham},
title = {{Aronszajn trees on $\aleph_2$ and $\aleph_3$}},
journal = {Ann. Pure Appl. Logic},
volume = {24},
year = {1983},
pages = {213--230},
},
@article{Ah84,
author = {Ron Aharoni},
title = {Konig's duality theorem for infinite bipartite graphs},
journal = {Journal of the London Mathematical Society},
volume = {29},
year = {1984},
pages = {1--12},
},
@article{AhBe0x,
author = {Ron Aharoni and Eli Berger},
title = {Menger's Theorem for infinite graphs},
journal = {preprint},
},
@article{Aj83,
author = {Miklos Ajtai},
title = {{$\Sigma_1^1$-formulae on finite structures}},
journal = {Annals of Pure and Applied Logic},
volume = {24},
year = {1983},
pages = {1--48},
},
@article{Aj89,
author = {Miklos Ajtai},
title = {{First-order definability on finite structures}},
journal = {Annals of Pure and Applied Logic},
volume = {45},
year = {1989},
pages = {211--225},
},
@article{Ajt94,
author = {Miklos Ajtai},
title = {{The complexity of the pigeonhole principle}},
journal = {Combinatorica},
volume = {14},
year = {1994},
pages = {417--433},
},
@book{AleGu,
author = {Alechina, Natasha and Gurevich, Yuri},
title = {{Syntax vs. Semantics on Finite Structures}},
series = {Lectures Notes in Computer Science},
year = {1997},
publisher = {Springer-Verlag, Berlin-Heidelberg-New York},
},
@unpublished{Al,
author = {Noga Alon},
note = {Notes.}
},
@article{AH,
author = {Noga Alon and Andreas Hajnal},
title = {{Ramsey graphs contains many distinct induced subgraphs}},
journal = {Graphs and combinatorics},
volume = {7},
year = {1991},
pages = {1--6},
},
@article{Al3,
author = {Noga Alon},
title = {{Ramsey graphs cannot be defined by real polynomials}},
journal = {J. Graph Theory},
volume = {14},
year = {1990},
pages = {651--661},
},
@article{Alo02,
author = {Noga Alon},
title = {{Voting paradoxes and digraphs realizations}},
journal = {Advances in Appl. Math.},
volume = {29},
year = {2002},
pages = {126--135},
},
@article{AlBl,
author = {Noga Alon and Bela Bollobas},
title = {{Graphs with a small number of distinct induced subgraphs}},
journal = {Discrete Math},
volume = {75},
year = {1989},
pages = {23--30},
},
@book {AlSp08,
AUTHOR = {Alon, Noga and Spencer, Joel H.},
TITLE = {The probabilistic method},
SERIES = {Wiley-Interscience Series in Discrete Mathematics and
Optimization},
EDITION = {Third},
NOTE = {With an appendix on the life and work of Paul Erd{\H{o}}s},
PUBLISHER = {John Wiley \& Sons, Inc., Hoboken, NJ},
YEAR = {2008},
PAGES = {xviii+352},
},
@article{ApMg95,
author = {Arthur Apter and Menahem Magidor},
title = {{Instances of Dependent Choice and the Measurability of
$\aleph_{\omega + 1}$}},
journal = {Annals of Pure and Applied Logic},
volume = {74},
year = {1995},
pages = {203-219},
},
@article{ApMg,
author = {Arthur Apter and Menahem Magidor},
title = {{Instances of Dependent Choice and the Measurability of
$\aleph_{\omega + 1}$}},
journal = {Annals of Pure and Applied Logic},
volume = {74},
year = {1995},
pages = {203-219},
},
@article{Arr50,
author = {Kenneth Arrow},
title = {{A difficulty in the theory of social welfare}},
journal = {J. of Political Economy},
volume = {58},
year = {1950},
pages = {328-346},
},
@article{AsLaMop10,
author = {David Aspero, Paul Larson and Justin Moore},
title = {Forcing axioms and the Continuum Hypothesis},
journal = {Acta Mathematica},
volume = {212},
year = {2013},
pages = {1--29},
},
@article{BaPo98,
author = {Baisalov, Yerzhan and Poizat, Bruno},
title = {Paires de structures o-minimales},
journal = {Journal of Symbolic Logic},
volume = {63},
year = {1998},
pages = {570--578},
},
@article{BaFr87,
author = {Balcar, Bohuslav and Fran{\v e}k, Franti{\v s}ek},
title = {{Completion of factor algebras of ideals}},
journal = {Proceedings of the American Mathematical Society},
volume = {100},
year = {1987},
pages = {205--212},
},
@article{BaSi88,
author = {Balcar, Bohuslav and Simon, Petr},
title = {{On collections of almost disjoint families}},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {29},
year = {1988},
pages = {631--646},
},
@incollection{BaSi89,
author = {Balcar, Bohuslav and Simon, Petr},
title = {{Disjoint refinement}},
booktitle = {Handbook of Boolean Algebras},
volume = {2},
pages = {333--388},
year = {1989},
publisher = {North--Holland},
note = {Monk D., Bonnet R. eds.},
},
@article{BaSi95,
author = {Balcar, Bohuslav and Simon, Petr},
title = {{Baire number of the spaces of uniform ultrafilters}},
journal = {Israel Journal of Mathematics},
volume = {92},
year = {1995},
pages = {263--272},
},
@article{BPS,
author = "Bohuslav Balcar and Jan Pelant and Petr Simon",
title = "{The space of ultrafilters on $N$ covered by nowhere
dense sets}",
journal = FM,
year = 1980,
volume = "CX",
pages = "11--24"
},
@InProceedings{BS,
author = "Bohuslav Balcar and Petr Simon",
title = "{Cardinal invariants in Boolean spaces}",
editor = "J. Novak",
volume = "V",
pages = "39--47",
booktitle = "General Topology and its Relation to Modern Analysis
and Algebra, Proceedings of the fifth Prague
Topology Symposion 1981",
year = 1982,
publisher = "Helderman Verlag",
address = "Berlin"
},
@book{Ba91,
author = {Marek Balcerzak},
title = {Some properties of ideals of sets in Polish spaces},
series = {Habilitation Thesis},
publisher = {{{\L}\'od\'z University Press}},
year = {1991},
},
@article{Ba91b,
author = {Marek Balcerzak},
title = {{Some remarks on sup-measurability}},
journal = {Real Anal. Exchange},
volume = {17},
year = {1991/92},
pages = {597--607},
},
@article{BaCi97,
author = {Marek Balcerzak and Krzysztof Ciesielski},
title = {{On the sup-measurable functions problem}},
journal = {Real Anal. Exchange},
volume = {23},
year = {1997/98},
pages = {787--797},
},
@article{BaPl9x,
author = {Marek Balcerzak and Szymon Plewik},
title = {{Property {\bf (P)} and game ideals}},
journal = {{Tatra Mountains Mathematical Publications}},
volume = {accepted},
},
@article{BaRo95,
author = {Marek Balcerzak and Andrzej Ros{\l}anowski},
title = {{Coinitial families of perfect sets}},
journal = {{Journal of Applied Analysis}},
volume = {1},
year = {1995},
pages = {181--204},
},
@book{Baldwin,
author = {Baldwin, John T.},
title = {{Fundamentals of Stability Theory}},
year = {1988},
publisher = {Springer-Verlag, Berlin-Heidelberg-New York},
},
@book{Bal0x,
author = {Baldwin, John},
title = {{Categoricity}},
volume = {50},
series = {University Lecture Series},
publisher = {American Mathematical Society},
address = {Providence, RI},
year = {2009},
pages = {xii+235},
},
@article{Bal07,
author = {John Baldwin},
title = {Why the weak GCH is true!},
address = {ASL-APA Spring Meeting 2007, Spring 2007 meeting of the Association
of Symb. Logic, UCLA},
note = {slides, http://homepages.math.uic.edu/~jbaldwin/asl07.pdf},
},
@book{Bal09,
author = {Baldwin, John},
title = {{Categoricity}},
volume = {50},
series = {University Lecture Series},
publisher = {American Mathematical Society},
address = {Providence, RI},
year = {2009},
pages = {xii+235},
},
@book{Bal88,
author = {Baldwin, John},
title = {Fundamentals of Stability Theory},
series = {Perspectives in Mathematical Logic},
publisher = {Springer-Verlag},
address = {Berlin},
year = {1988},
},
@article{BETp06,
author = {Baldwin, John T. and Eklof, Paul and Trlifaj, Jan},
title = {{$N$ perp as an AEC}},
journal = {Preprint},
year = {2006, revised 2007},
},
@article{BKV0x,
author = {Baldwin, John T. and Kueker, David W. and VanDieren, Monica},
title = {{Upward Stability Transfer Theorem for Tame Abstract Elementary
Classes}},
journal = {Preprint},
year = {2004},
},
@article{BlShi,
author = {Baldwin, John T. and Shi, Niandong},
title = {{Stable Generic Structures}},
journal = {Annals of Pure and Applied Logic},
year = {1996},
volume = {79},
pages = {1--35}
},
@incollection{Bl,
author = {John T. Baldwin},
chapter = {XII},
title = {{Definable second order quantifiers}},
booktitle = {{Model Theoretic Logics}},
editor = {J. Barwise and S. Feferman},
series = {Perspectives in Mathematical Logic},
publisher = {Springer-Verlag},
address = {New York Berlin Heidelberg Tokyo},
year = {1985},
pages = {445--477},
},
@incollection{Bl85,
author = {John T. Baldwin},
chapter = {XII},
title = {{Definable second order quantifiers}},
booktitle = {{Model Theoretic Logics}},
editor = {J. Barwise and S. Feferman},
series = {Perspectives in Mathematical Logic},
publisher = {Springer-Verlag},
address = {New York Berlin Heidelberg Tokyo},
year = {1985},
pages = {445--477},
},
@article{Bl96,
author = {John T. Baldwin},
title = {Near model completeness and 0--1 laws},
journal = {preprint},
year = {1996},
},
@article{Bl89,
author = {John T. Baldwin},
title = {Diverse classes},
journal = {Journal of Symbolic Logic},
volume = {54},
year = {1989},
pages = {875--893},
},
@article{BlBn00,
author = {Baldwin, John T. and Benedikt, Michael},
title = {{Stability theory, permutations of indiscernibles, and embedded
finite model theory}},
journal = {Transactions of the American Mathematical Society},
volume = {352},
year = {2000},
pages = {4937-4969},
},
@article{BaKo12p,
author = {Baldwin, John and Kolesnikov, Alexei},
title = {Revisiting [HaSh:323]},
journal = {preprint},
},
@article{BaLa71,
author = {John T. Baldwin and Alistair H. Lachlan},
title = {On strongly minimal sets},
journal = {Journal of Symbolic Logic},
volume = {36},
year = {1971},
pages = {79--96},
},
@article{BaSx76,
author = {John T. Baldwin and Jan Saxl},
title = {{Logical stability in group theory}},
journal = {{J. Austral. Math. Soc. Ser. A}},
volume = {21},
year = {1976},
pages = {267--276},
},
@INCOLLECTION{Bar73,
AUTHOR = {Barwise, Jon},
TITLE = {Back and forth through infinitary logic},
BOOKTITLE = {Studies in Model Theory},
PAGES = {5--34, MAA Studies in Math., Vol. 8},
PUBLISHER = {Math. Assoc. Amer., Buffalo, N.Y.},
YEAR = {1973},
},
@book{BeKe96,
author = {Becker, Howard and Kechris, Alexander S.},
title = {The descriptive set theory of Polish group actions},
series = {London Mathematical Society Lecture Notes Series},
volume = {232},
publisher = {Cambridge University Press},
address = {Cambridge},
year = {1996},
},
@incollection{BTV91,
author = {Oleg V. Belegradek and Vladimir A. Tolstykh},
title = {The logical strength of theories associated with an
infinitely-dimensional vector space},
booktitle = {Proc. Ninth Easter Conference on Model Theory, Gosen
1991},
publisher = {Fachb. Math. Humboldt-Univ},
year = {1991},
address = {Berlin},
pages = {12--33},
},
@article{Bell81,
author = {Bell, Murray G.},
title = {{On the combinatorial principle $P({\frak c})$}},
journal = {Fund. Math.},
volume = {114},
year = {1981},
pages = {149--157},
},
@book {BeSl69,
AUTHOR = {Bell, J. L. and Slomson, A. B.},
TITLE = {Models and ultraproducts: {A}n introduction},
PUBLISHER = {North-Holland Publishing Co., Amsterdam-London},
YEAR = {1969},
PAGES = {ix+322},
},
@article{BOPP0x,
author = {Berarducci, Alessandro and Otero, Margarita and Peterzil, Yaa'cov
and Pillay, Anand},
title = {{A descending chain condition for groups definable in o-minimal
structures}},
journal = {Annals of Pure and Applied Logic},
volume = {134},
pages = {303--313},
year = {2005},
},
@article{BOPP05,
author = {Berarducci, Alessandro and Otero, Margarita and Peterzil, Yaa'cov
and Pillay, Anand},
title = {{A descending chain condition for groups definable in o-minimal
structures}},
journal = {Annals of Pure and Applied Logic},
volume = {134},
pages = {303--313},
year = {2005},
},
@article{Br,
author = "F.E. Browder (editor)",
title = "Mathematical developments arising from {H}ilbert's
{P}roblems",
journal = "Proc. of Symposium in Pure Math",
volume = "28",
pages = "421",
year = "1974",
},
@book{BaFe85,
author = {Jon Barwise and Solomon Feferman (editors)},
title = {{Model-theoretic logics}},
publisher = {Springer Verlag},
address = {Heidelberg-New York},
year = {1985},
series = {Perspectives in Mathematical Logic},
},
@book{BF,
author = {Jon Barwise and Solomon Feferman (editors)},
title = {{Model-theoretic logics}},
publisher = {Springer Verlag},
address = {Heidelberg-New York},
year = {1985},
series = {Perspectives in Mathematical Logic},
usedin = {cardarith},
},
@article{Bar87,
author = {Tomek Bartoszy\'nski},
title = {Combinatorial aspects of measure and category},
journal = {Fundamenta Mathematicae},
volume = {127},
year = {1987},
pages = {225--239},
},
@article{Ba88,
author = {Tomek Bartoszy\'nski},
title = {On covering of real line by null sets},
journal = {Pacific Journal of Mathematics},
volume = {131},
year = {1988},
pages = {1--12},
},
@unpublished{Ba94,
author = {Tomek Bartoszy\'nski},
title = {{Some old and new problems}},
note = {circulated notes of Noveber 1994},
},
@article{Ba00,
author = {Tomek Bartoszy\'nski},
title = {A note on duality between measure and category},
journal = {Proceedings of the American Mathematical Society},
volume = {128},
year = {2000},
pages = {2745--2748 (electronic)},
},
@book{BaJu95,
author = {Tomek Bartoszy\'nski and Haim Judah},
title = {{Set Theory: On the Structure of the Real Line}},
publisher = {A K Peters, Wellesley, Massachusetts},
year = {1995},
},
@incollection{Baxx,
author = {Tomek Bartoszy\'nski},
title = {{Invariants of Measure and Category}},
booktitle = {{Handbook of Set Theory}},
publisher = {Kluwer},
editor = {M. Foreman and A. Kanamori and M. Magidor},
},
@incollection{Bar10,
author = {Tomek Bartoszy\'nski},
title = {{Invariants of Measure and Category}},
pages = {491--555},
booktitle = {{Handbook of Set Theory, {V}ols. 1, 2, 3}},
publisher = {Springer, Dordrect},
year = {2010},
editor = {Matthew Foreman and Akihiro Kanamori},
},
@article{BaRo02,
author = {Tomek Bartoszy\'nski and Andrzej Ros{\l}anowski},
title = {{Towards Martin's Minimum}},
journal = {Archive for Mathematical Logic},
volume = {41},
year = {2002},
pages = {65--82},
eprint = {math.LO/9904163},
},\item The numbers of Normal Measures, (with S. Friedman) to appear
in the Journal of Symbolic Logic. (18 pps).
@article{Ba,
author = {James E. Baumgartner},
title = {{Almost disjoint sets, the dense set problem and partition calculus}},
journal = {Annals of Math Logic},
volume = {9},
year = {1976},
pages = {401-439},
usedin = {cardarith},
},
@article{B,
author = {James E. Baumgartner},
title = {{Decomposition of embedding of trees}},
journal = {Notices Amer. Math. Soc.},
volume = 17,
year = 1970,
pages = {967},
},
@book {BaRo83,
AUTHOR = {Baudisch, Andreas and Rothmaler, Philipp},
TITLE = {Vorlesungen zur {E}inf\"uhrung in die {T}heorie des
{S}helah'schen ``forking''},
SERIES = {Seminarberichte [Seminar Reports]},
VOLUME = {47},
NOTE = {1. Semester. [First semester],
With English and Russian summaries},
PUBLISHER = {Humboldt Universit\"at Sektion Mathematik},
ADDRESS = {Berlin},
YEAR = {1983},
PAGES = {96},
},
@phdthesis{B1,
author = {James E. Baumgartner},
title = {{Results and independence proofs in combinatorial set theory}},
school = {Univ. of Calif. Berkeley},
year = {1970},
usedin = {cardarith},
},
@article{B2,
author = {James E. Baumgartner},
title = {{A new class of order types}},
journal = {Annals of Math. Logic},
volume = 9,
year = 1976,
pages = {187-222},
},
@InProceedings{B3,
author = "James E. Baumgartner",
title = "{Iterated forcing}",
editor = "A. Mathias",
booktitle = "Surveys in Set Theory",
series = "London Mathematical Society Lecture Notes",
volume = 87,
pages = "1--59",
year = 1978,
address = "Cambridge, Britain"
},
@article{B4,
author = {James E. Baumgartner},
title = {{All $\aleph_1 $-dense sets of reals can be isomorphic}},
journal = {Fund. Math.},
volume = 79,
year = 1973,
pages = {101-106},
},
@article{B5,
author = {James E. Baumgartner},
title = {{Almost disjoint sets, the dense set problem and partition calculus}},
journal = {Annals of Math Logic},
volume = {9},
year = {1976},
pages = {401-439},
usedin = {cardarith},
},
@article{B6,
author = {James E. Baumgartner},
title={{Ultrafilters on $\omega$}},
journal = {The Journal of Symbolic Logic},
volume = {60},
year = {1995},
pages = {624--639},
usedin = {pif},
},
@unpublished{B7,
author = {James E. Baumgartner},
title={{On the Size of Closed Unbounded Sets}},
note = {preprint},
},
@article{BaGa78,
author = {James E. Baumgartner and Fred Galvin},
title = {{Generalized Erd\H{o}s cardinals and $0^{\#}$}},
journal = {Ann. Math. Logic},
volume = {15},
pages = {289--313},
year = {1978},
},
@article{BaHa73,
author = {J. Baumgartner and A. Hajnal},
title = {{A proof (involving Martin's axiom) of a partition relation}},
journal = {Polska Akademia Nauk. Fundamenta Mathematicae},
volume = {78(3)},
pages = {193--203},
year = {1973},
},
@article{BH,
author = {James E. Baumgartner and Andras Hajnal},
title = {{Polarized partition relations}},
journal = {preprint},
year = 1995,
},
@article{BKM78,
author = {Jon Barwise and Matt Kaufmann and Michael Makkai},
title = {Stationary logic},
journal = {Annals of Mathematical Logic},
volume = 13,
year = 1978,
pages = {171--224},
},
@article{BHK,
author = {James E. Baumgartner and Leo Harrington and Eugene M. Kleinberg},
title = {{Adding a closed unbounded set}},
journal = {The Journal of Symbolic Logic},
volume = 41,
year = 1976,
pages = {481-487},
},
@incollection{BHT93,
author = {James Baumgartner and Andras Hajnal and Stevo Todor\v{c}evi\'{c}},
title = {{Extensions of the Erdos--Rado Theorems}},
publisher = {Kluwer Academic Publishers},
volume = {},
booktitle = {{Finite and Infinite Combinatorics in Set Theory and
Logic}},
year = 1993,
note = {{N.W. Sauer et. al. eds}},
pages = {1--18},
},
@article{BaKo81,
author = {James E. Baumgartner and Peter Komj\'{a}th},
title = {{Boolean algebras in which every chain and antichain is
countable}},
journal = {Fund. Math.},
volume = {111},
year = {1981},
pages = {125--133},
},
@article{BMR,
author = {James E. Baumgartner and Jerome Malitz and William Reinhart},
title = {{Embedding trees in the rationals}},
journal = {Proc. Nat. Acad. Sci. U.S.A. },
volume = 67,
year = 1970,
pages = {1748-1753},
},
@article{BP,
author = {James E. Baumgartner and Karel Prikry},
title = {{On a theorem of Silver}},
journal = {Discrete Math.},
volume = {14},
year = {1976},
pages = {17--22},
usedin = {cardarith},
},
@article{BL79,
author = {James E. Baumgartner and Richard Laver},
title = {{Iterated perfect-set forcing}},
journal = {Annals of Mathematical Logic},
volume = {17},
year = {1979},
pages = {271--288},
},
@article{Bau76,
author = {Baur, Walter},
title = {{Elimination of quantifiers for modules}},
journal = {Israel J. Math.},
volume = {25},
year = {1976},
pages = {64--70},
},
@article{BeLe96,
author = {V. Bergelson and A. Leibman},
title = {{Polynomial extensions of van der Waerden's and Szemer\'edi's
theorems}},
journal = {Journal of the American Mathematical Society},
volume = {9},
year = {1996},
pages = {725--753},
},
@article{BeLe99,
author = {V. Bergelson and A. Leibman},
title = {{Set polynomial and polynomial extensions of the Hales-Jewett
theorem}},
journal = {Ann. of Math.},
volume = {150},
year = {1999},
pages = {33--75},
},
@phdthesis{Bay,
author = {Timothy James Bays},
title = {Multi--cardinal phenomena in stable theories},
school = {UCLA},
year = {1994},
},
@book{BJW,
author = {Aaron Beller, Ronald B. Jensen and Philip Welch},
title = {{Coding the universe}},
publisher = {Cambridge University Press},
year = {1982},
series = {London Mathematical Society Lecture notes series},
number = {47},
usedin = {cardarith},
},
@article{BeLi80,
author = {Aaron Beller and Ami Litman},
title = {{A strengthening of Jensen's square principles}},
journal = {The Journal of Symbolic Logic},
volume = {45},
year = {1980},
pages = {251--264},
},
@article{BD,
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year = {1978},
pages = {34-56 and 394},
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},
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pages = {424-436},
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},
@article{Bn,
author = {Michael Benedikt},
title = {{Ultrafilters Which Extend Measure}},
journal = {The Journal of Symbolic Logic},
volume = {to appear},
year = {},
pages = {},
},
@phdthesis{Bnx,
author = {Michael Benedikt},
title = {{Ultrafilters Which Extend Measure}},
school = {University of Wisconsin},
year = {1993},
},
@article{BY0x,
author = {I. Ben-Yaacov},
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journal = {Preprint},
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},
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},
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author = {Ben-Yaacov, Itay and Usvyatsov, Alexander},
title = {{Continuous first order logic and local stability}},
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},
@incollection{Bls10,
author = {Blass, Andreas},
title = {{Combinatorial Cardinal Characteristics of the Continuum}},
volume = {1},
pages = {395--490},
booktitle = {{Handbook of Set Theory}},
publisher = {Springer},
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@incollection{Bls89,
author = {Blass, Andreas},
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series = {Lecture Notes in Math.},
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author = {Robert Bonnet},
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year = {1978},
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},
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publisher = {North--Holland},
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},
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@incollection {Bou98,
AUTHOR = {Bouscaren, Elisabeth},
TITLE = {Introduction to model theory},
BOOKTITLE = {Model theory and algebraic geometry},
SERIES = {Lecture Notes in Math.},
VOLUME = {1696},
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ADDRESS = {Berlin},
YEAR = {1998},
},
@book{Bo98,
editor = {Bouscaren, Elisabeth},
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},
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journal = {Annals of Pure and Applied Logic },
volume = {73},
year = {1995},
pages = {143--170},
},
% Br02 is used for Elizabeth Brown elsewhere
@incollection {xBr02,
author = {Brendle, J{\"o}rg},
title = {{Mad families and iteration theory}},
booktitle = {Logic and algebra},
series = {Contemp. Math.},
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year = {2003},
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}
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pages = {19--35},
}
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},
@book {Bue96,
AUTHOR = {Buechler, Steven},
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SERIES = {Perspectives in Mathematical Logic},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1996},
PAGES = {xiv+355},
},
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},
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year = {1972},
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},
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},
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year = {1978},
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},
@incollection{Ch,
author ={Chen C. Chang},
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},
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series = {Studies in Logic and the Foundation of Math.},
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},
@book{ChKe66,
author = {Chen-Chung Chang and H. Jerome Keisler},
title = {{Continuous Model Theory}},
series = {Annals of Mathematics Studies},
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year = {1966},
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},
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},
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},
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},
@incollection{Ch00,
author = {Gregory Cherlin},
title = {{Sporadic homogeneous structures}},
booktitle = {{The Gelfand Mathematical Seminars, 1996--1999}},
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},
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},
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volume = {58},
year = {1993},
pages = {42--54},
},
@article {ChHa80,
AUTHOR = {Chandra, Ashok K. and Harel, David},
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JOURNAL = {J. Comput. System Sci.},
FJOURNAL = {Journal of Computer and System Sciences},
VOLUME = {21},
YEAR = {1980},
NUMBER = {2},
PAGES = {156--178},
},
@article{ChaHar,
author = {Chandra, Ashok and Harel, David},
title= {{Structure and Complexity of Relational Queries}},
journal = {J. Comput. and System Sciences},
volume = {25},
year = {1982},
pages = {99--128},
},
@article{ChHa82,
author = {Chandra, Ashok and Harel, David},
title= {{Structure and Complexity of Relational Queries}},
journal = {J. Comput. and System Sciences},
volume = {25},
year = {1982},
pages = {99--128},
},
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note = {math.AG/0503722},
},
@book{C,
author = {Paul Cohen},
title = {{Set Theory and the Continuum Hypothesis}},
publisher = {Benjamin},
address = {New York},
year = {1966},
usedin = {cardarith},
},
@book{Co66,
author = {Paul Cohen},
title = {{Set Theory and the Continuum Hypothesis}},
publisher = {Benjamin},
address = {New York},
year = {1966},
usedin = {cardarith},
},
@article{Cmf77,
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journal = {Bulletin of the American Mathematical Society},
volume = {83},
year = {1977},
pages = {417--455},
},
@article{CN1,
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journal = {Fundamenta Math.},
volume = {75},
year = {1972},
pages = {275-290},
usedin = {cardarith},
},
@book{CN2,
author = {Wistar W. Comfort and Stelios Negrepontis},
title = {{The theory of ultrafilters}},
publisher = {Springer-Verlag, Berlin-Heidelberg-New York},
year = {1974},
series = {Grundlehren der math Wissenschaften B and 211},
usedin = {cardarith},
},
@article{CoGb85,
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year = {1985},
pages = {447--479},
},
@article{CG,
author = {Corner, A. L. S. and G\"obel, R\"udiger},
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journal = {Proceedings of the London Mathematical Society. Third Series},
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year = {1985},
pages = {447--479},
},
@article{C63,
author = {Corner, A. L. S.},
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ring}},
journal = {{Proceedings of the London Mathematical Society. Third
Series}},
volume = {13},
year = {1963},
pages = {687--710},
},
@article{Co69,
author = {Corner, A. L. S.},
title = {{Endomorphism algebras of large modules with distinguished
submodules}},
journal = {{Journal of Algebra}},
volume = {11},
year = {1969},
pages = {155--185},
},
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year = {2015},
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},
@phdthesis{Cu,
author = {James Cummings},
title = {{Consistency results in cardinal arithmetic}},
school = {Cambridge University},
year = {1988},
usedin = {cardarith},
},
@book{CW,
author = {James Cummings and Hugh Woodin},
title = {{Generalized Radin Forcing}},
publisher = {North--Holland},
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},
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volume = {1},
year = {2001},
pages = {35--98},
},
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structure.}},
series = {{London Mathematical Society Monographs. New Series}},
volume = {14},
publisher = {Oxford Science Publications. The Clarendon Press, Oxford
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address = {New York},
year = {1996}
},
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author = {R. O. Davies},
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journal = {Fundamenta Mathematicae},
year = {1974},
pages = {177--183},
},
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author = {Keith J. Devlin},
title = {{$\aleph_1$ trees}},
journal = {Ann. Math. Logic},
volume = { },
year = {1978},
pages = {267-330},
usedin = {pif},
},
@article{De2,
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journal = {Ann. Math. Logic},
volume = {19},
year = {1980},
pages = {115-125},
usedin = {pif},
},
@book{De73,
author = {Keith J. Devlin},
title = {Aspects of Constructibility},
publisher = {Springer-Verlag},
series = {{Lecture Notes in Mathematics}},
volume = {354},
year = {1973},
},
@inproceedings{DeJ,
author = {Keith J. Devlin and Ronald B. Jensen},
title = {{Marginalia to a theorem of Silver}},
booktitle = {{Proceedings of the Logic Colloquium Kiel 1974}},
editor = {G. H. M\"uller and A. Oberschelp and K. Potthoff},
series = {Lecture Notes in Mathematicas},
volume = {499},
publisher = {Springer},
address = {Berlin},
year = {1975},
pages = {115-142},
usedin = {cardarith},
},
@book{DeJo,
author = {Keith J. Devlin and Havard Johnsbraten},
title = {{The Souslin problem}},
series = {Lecture Notes in Mathematics},
volume = 405,
year = 1974,
publisher = {Springer},
address = {Berlin},
},
@article{DKP92,
author = {Wojciech D{\c e}bski and Jan Kleszcz and Szymon Plewik},
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journal = {Acta Universitatis Carolinae -- Mathematica et Physica},
volume = {33},
year = {1992},
pages = {31--33},
},
@incollection{Dic85,
author = {M. A. Dickman},
chapter = {IX},
title = {{Larger infinitary languages}},
booktitle = {{Model Theoretic Logics}},
editor = {J. Barwise and S. Feferman},
series = {Perspectives in Mathematical Logic},
publisher = {Springer-Verlag},
address = {New York Berlin Heidelberg Tokyo},
year = {1985},
pages = {317-364},
usedin = {cardarith},
},
@article{DJ1,
author = {A. Dodd and Ronald B. Jensen},
title = {{The Core model}},
journal = {Annals of Math Logic},
volume = {20},
year = {1981},
pages = {43-75},
usedin = {cardarith},
},
@article{DoJe81,
author = {A. Dodd and Ronald B. Jensen},
title = {{The core model}},
journal = {Annals of Mathematical Logic},
volume = {20},
year = {1981},
pages = {43-75},
},
@article{DJ2,
author = {Tony Dodd and Ronald B. Jensen},
title = {{The covering lemma for $K$}},
journal = {Ann. of Math Logic},
volume = {22},
year = {1982},
pages = {1-30},
usedin = {cardarith},
},
@inproceedings{DJS,
author = {Hans D. Donder and Ronald B. Jensen and Lee J. Stanley},
title = {{Condensation-Coherent global square systems}},
booktitle = {{Proc. of Symp. in Pure Math of the A.M.S.}},
editor = {A.Nerode and R.A. Shore},
pages = {237-258},
note = {see p.256},
usedin = {cardarith},
},
@article{vD81,
author = {Eric K. van Douwen},
title = {{Remote points}},
journal = {Dissertationes Mathematicae},
volume = {188},
year = {1981},
pages = {3--45},
},
@InCollection{vD,
author = "Eric K. van Douwen",
title = "{The integers and topology}",
booktitle = "Handbook of Set-Theoretic Topology",
editor = {K. Kunen and J. E. Vaughan},
publisher = {Elsevier Science Publishers},
year = 1984,
pages = {111-167},
},
@InCollection{D,
author = "Eric K. van Douwen",
title = "{The integers and topology}",
booktitle = "Handbook of Set-Theoretic Topology",
editor = {K. Kunen and J. E. Vaughan},
publisher = {Elsevier Science Publishers},
year = 1984,
pages = {111-167},
},
@article{DMR,
author = {van Douwen, Eric K. and Monk, J. Donald and Rubin, Matatyahu},
title = {{Some questions about Boolean algebras}},
journal = {Algebra Universalis},
volume = {11},
year = {1980},
pages = {220--243},
},
@inproceedings{Dj04,
author = {D\v{z}amonja Mirna},
title = {{Club guessing and the universal models}},
booktitle = {{On pcf (Banff, Alberta, 2004)}},
editor = {Foreman, Matthew},
pages = {},
series = {},
volume = {},
publisher = {},
year = {to appear},
},
@article{Dj05,
author = {D\v{z}amonja Mirna},
title = {{Club guessing and the universal models}},
journal ={Notre Dame J. Formal Logic},
volume ={46},
year = {2005},
pages = {283--300},
},
@article{DK1,
author = {Mirna D\v{z}amonja and Kenneth Kunen},
journal = {{Fundamenta Mathematicae}},
volume = {143},
year = {1993},
pages = {41--54},
title = {{Measures on HS spaces}},
},
@article{DK2,
author = {Mirna D\v{z}amonja and Kenneth Kunen},
journal = {{Fundamenta Mathematicae}},
volume = {147},
year = {1995},
pages = {261--277},
title = {{Properties of the class of measure separable spaces}},
},
@article{D81,
author = {Dugas, Manfred},
title = {{Fast freie abelsche Gruppen mit Endomorphismenring ${Z}$}},
journal = {Journal of Algebra},
volume = {71},
year = {1981},
pages = {314--321},
},
@article{DG82,
author = {Dugas, Manfred and G\"obel, R\"udiger},
title = {{Every cotorsion-free ring is an endomorphism ring}},
journal = {Proceedings of the London Mathematical Society. Third Series},
volume = {45},
year = {1982},
pages = {319--336},
},
@article{DG82a,
author = {Dugas, Manfred and G\"obel, R\"udiger},
title = {{Every cotorsion-free algebra is an endomorphism algebra}},
journal = {Mathematische Zeitschrift},
volume = {181},
year = {1982},
pages = {451--470},
},
@article{DG82b,
author = {Dugas, Manfred and G\"obel, R\"udiger},
title = {{On endomorphism rings of primary abelian groups}},
journal = {Mathematische Annalen},
volume = {261},
year = {1982},
pages = {359--385},
},
@incollection{DG83,
author = {Dugas, Manfred and G\"obel, R\"udiger},
title = {{Endomorphism algebras of torsion modules. II}},
booktitle = {{Abelian group theory (Honolulu, Hawaii, 1983)}},
pages = {400--411},
series = {{Lecture Notes in Math.}},
volume = {1006},
publisher = {Springer},
address = {Berlin-New York},
year = {1983},
},
@article{DG84,
author = {Dugas, Manfred and G\"obel, R\"udiger},
title = {{Torsion-free abelian groups with prescribed finitely topologized
endomorphism rings}},
journal = {Proceedings of the American Mathematical Society},
volume = {90},
year = {1984},
pages = {519--527},
},
@article{DG85,
author = {Dugas, Manfred and G\"obel, R\"udiger},
title = {{Endomorphism rings of separable torsion-free abelian groups}},
journal = {Houston Journal of Mathematics},
volume = {11},
year = {1985},
pages = {471--483},
},
@article{DG87,
author = {Dugas, Manfred and G\"obel, R\"udiger},
title = {{All infinite groups are Galois groups over any field}},
journal = {Transactions of the American Mathematical Society},
volume = {304},
year = {1987},
pages = {355--384},
},
@article{DG90,
author = {Dugas, Manfred and G\"obel, R\"udiger},
title = {{Torsion-free nilpotent groups and $E$-modules}},
journal = {Arch. Math. (Basel)},
volume = {54},
year = {1990},
pages = {340--351},
},
@article{DGG84,
author = {Dugas, Manfred and G\"obel, R\"udiger and Goldsmith, Brendan},
title = {{Representation of algebras over a complete discrete valuation
ring}},
journal = {The Quarterly Journal of Mathematics. Oxford. Second Series},
volume = {35},
year = {1984},
pages = {131--146},
},
@article{DgGb93,
author = {Dugas, Manfred and G{\"o}bel, R{\"u}diger},
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year = {1993},
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},
@incollection{Du80,
author = {Duret, Jean-Louis},
title = {{Les corps faiblement alg\'ebriquement clos non
s\'eparablement clos ont la propri\'et\'e
d'ind\'ependence}},
booktitle = {{Model theory of algebra and arithmetic (Proc. Conf.,
Karpacz, 1979)}},
pages = {136--162},
series = {Lecture Notes in Math.},
volume = {834},
publisher = {Springer},
address = {Berlin -- New York},
year = {1980},
},
@article{DM,
author = "Ben Dushnik and E. W. Miller",
title = "{Partially ordered sets}",
journal = "American Journal of Mathematics",
year = 1941,
volume = 63,
pages = "600-610",
},
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year = {1970},
pages = {139--178},
usedin = {cardarith},
},
@book{EbFl95,
author = {Heinz-Dieter Ebbinghaus and Jorg Flum},
title = {{Finite model theory}},
series = {Perspectives in Mathematical Logic},
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address = {Berlin},
year = {1995},
page = {327},
},
@book {EbFl06,
AUTHOR = {Ebbinghaus, Heinz-Dieter and Flum, J{\"o}rg},
TITLE = {Finite model theory},
SERIES = {Springer Monographs in Mathematics},
EDITION = {enlarged},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {2006},
PAGES = {xii+360}
},
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author = {Andrzej Ehrenfeucht},
title = {On theories categorical in power},
journal = {{Fundamenta Mathematicae}},
volume = {44},
year = {1957},
pages = {241--248},
},
@article{Eh58,
author = {Andrzej Ehrenfeucht},
title = {On theories categorical in power},
journal = {{Notices of the American Mathematical Society}},
volume = {5},
year = {1958},
pages = {680},
},
@article{EhMo56,
author = {Andrzej Ehrenfeucht and Andrzej Mostowski},
title = {Models of axiomatic theories admitting automorphisms},
journal = {{Fundamenta Mathematicae}},
volume = {43},
year = {1956},
pages = {50--68},
},
@article{Eis13,
AUTHOR = {Eisworth, Todd},
TITLE = {Getting more colors {II}},
JOURNAL = {J. Symbolic Logic},
FJOURNAL = {Journal of Symbolic Logic},
VOLUME = {78},
YEAR = {2013},
NUMBER = {1},
PAGES = {17--38},
},
@article {Ek1,
AUTHOR = {Eklof, Paul C.},
TITLE = {On singular compactness},
JOURNAL = {Algebra Universalis},
FJOURNAL = {Algebra Universalis},
VOLUME = {14},
YEAR = {1982},
NUMBER = {3},
PAGES = {310--316},
},
@article {Ek82,
AUTHOR = {Eklof, Paul C.},
TITLE = {On singular compactness},
JOURNAL = {Algebra Universalis},
FJOURNAL = {Algebra Universalis},
VOLUME = {14},
YEAR = {1982},
NUMBER = {3},
PAGES = {310--316},
},
@article{Ek71,
author = {Paul C. Eklof},
title = {{Homogeneous universal modules}},
journal = {Math. Scand.},
volume = {29},
year = {1971},
pages = {187--196},
},
@article{Ek73,
author = {Eklof, Paul C.},
title = {The structure of ultraproducts of abelian groups},
journal = {Pacific Journal Mathematics},
volume = {47},
year = {1973},
pages = {67--79},
},
@book{Ek80,
author = "Paul C. Eklof",
title = "{Set theoretic methods in homological algebra and
abelian groups}",
publisher= "Les Presses de l'Universite de Montreal",
year = 1980,
se = {Seminaire de Mathematiques Superieurs},
pif = {[EK] already used},
},
@article{Ek92,
author = { Paul C. Eklof},
title = {{A transfer theorem for nonstandard uniserials}},
journal = {Proc. Amer. Math. Soc.},
volume = {114},
year = {1992},
pages = {593--600},
},
@incollection{EkHu,
author = {Paul C. Eklof and Martin Huber},
title = {{On the $p$-ranks of $Ext(A,G)$, assuming CH}},
booktitle = {{Abelian Group Theory}},
series = {Lecture Notes in Math.},
volume = {874},
pages = {93--108},
note = {{(Oberwolfach 1981)}},
publisher = {Springer},
year = {1981},
},
@article{EkHu1,
author = {Paul C. Eklof and Martin Huber},
title = {{On the rank of Ext}},
journal = {Math Zeitschrift},
volume = 174,
year = 1980,
pages = {159-185},
},
@book{EM,
author = {Paul C. Eklof and Alan Mekler},
title = {{Almost free modules: Set theoretic methods}},
publisher = {North--Holland Publishing Co.},
series = {North--Holland Mathematical Library},
volume = {46},
year = {1990},
address = {Amsterdam},
usedin = {cardarith},
},
@book{EM90,
author = {Paul C. Eklof and Alan Mekler},
title = {{Almost free modules: Set theoretic methods}},
publisher = {North--Holland Publishing Co.},
series = {North--Holland Mathematical Library},
volume = {46},
year = {1990},
address = {Amsterdam},
},
@book{EM02,
author = {Paul C. Eklof and Alan Mekler},
title = {{Almost free modules: Set theoretic methods}},
publisher = {North--Holland Publishing Co.},
series = {North--Holland Mathematical Library},
volume = {65},
year = {2002},
address = {Amsterdam},
note = {Revised Edition},
},
@article{EM2,
author = {Paul C. Eklof and Alan Mekler},
title = {{Categoricity results for $L_{\infty,\kappa}$-free algebras}},
journal = {Annals of Pure and Applied Logic},
volume = {37},
year = {1988},
pages = {81--99},
},
@article{EM77,
author = {Paul C. Eklof and Alan Mekler},
title = {{On constructing indecomposable groups in $L$}},
journal = {Journal of Algebra},
volume = {49},
year = {1977},
pages = {96--103},
},
@article{Ena06p,
author = {Enayat, Ali},
title = {{A standard model of Peano arithmetic with no conservative
elementary extension}},
journal = {preprint},
year = {2006},
},
@article{Ena08,
author = {Enayat, Ali},
title = {A standard model of Peano arithmetic with no conservative elementary
extension},
journal = {Annals of Pure and Applied Logic},
volume = {156},
year = {2008},
pages = {308--318},
},
@article{EK,
author = {Ryszard Engelking and Monika Kar{\l}owicz},
title = {{Some theorems of set theory and their topological consequences}},
journal = {Fundamenta Math.},
volume = {57},
year = {1965},
pages = {275-285},
usedin = {cardarith},
},
@article{EK65,
author = {Ryszard Engelking and Monika Kar{\l}owicz},
title = {{Some theorems of set theory and their topological consequences}},
journal = {Fundamenta Math.},
volume = {57},
year = {1965},
pages = {275-285},
usedin = {cardarith},
},
@article{Er7,
author = {Paul Erd\H{o}s},
title = {{Some remarks on the theory of graphs}},
journal = {Bull. Am. Math. Soc},
volume = {53},
year = {1947},
pages = {292--294},
usedin = {cardarith},
},
@inproceedings{EH1,
author = {Paul Erd\H{o}s and Andras Hajnal},
title = {{Solved and Unsolved Problems in set theory}},
booktitle = {{Proc. of the Symp. in honor of Tarksi's seventieth birthday in Berkeley 1971}},
editor = {Leon Henkin},
series = {Proc. Symp in Pure Math.},
volume = {XXV},
year = {1974},
pages = {269-287},
usedin = {cardarith},
},
@article{EH2,
author = {Paul Erd\H{o}s and Andras Hajnal},
title = {{On a problem of B. Jonsson}},
journal = {Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Pys.},
volume = {14},
year = {1966},
pages = {19-23},
usedin = {cardarith},
},
@article{EH3,
author = {Paul Erd\H{o}s and Andras Hajnal},
title = {{On chromatic number of graphs and set-systems}},
journal = {Acta Math. Acad. Sci. Hungar.},
volume = {17},
year = {1966},
pages = {61--99},
},
@inproceedings{EH,
author = {Paul Erd\H{o}s and Andras Hajnal},
title = {{Unsolved Problems in set theory}},
booktitle = {Axiomatic Set Theory},
series = {Proc. of Symp. in Pure Math.},
volume = {XIII Part I},
publisher = {AMS} ,
address = {Providence, R.I.},
year = {1971},
pages = {17-48},
usedin = {cardarith},
},
@article{ErHa78,
author = {Paul Erd\H{o}s and Andras Hajnal},
title = {Embedding theorems for graphs establishing negative partition
relations},
journal = {Period.Math.Hungar.},
volume = {9},
year = {1978},
pages = {205--230},
},
@article{ErH8,
author = {Paul Erd\H{o}s and Andras Hajnal},
title = {{Ramsey type theorems}},
journal = {Discrete Applied Math},
volume = {25},
year = {1989},
pages = {37--52},
},
@article{EH9,
author = {Paul Erd\H{o}s and Andras Hajnal},
title = {{On the number of distinct induced subgraphs of a graph}},
journal = {Discrete Math},
volume = {75},
year = {1989},
pages = {145--154},
},
@book{EHMR,
author = {Paul Erd\H{o}s and Andras Hajnal and A. Mat\'e and Richard Rado},
title = {{Combinatorial set theory: Partition Relations for Cardinals}},
series = {Studies in Logic and the Foundation of Math. },
volume = {106},
publisher = {North--Holland Publ. Co},
address = {Amsterdam},
year = {1984},
page = {347},
usedin = {cardarith},
},
@article{EHR,
author = {Paul Erd\H{o}s and Andras Hajnal and Richard Rado},
title = {{Partition relations for cardinal numbers}},
journal = {Acta Math. Acad. Sci. Hung.},
volume = {16},
year = {1965},
pages = {93-196},
usedin = {cardarith},
},
@article{ErMo64,
author = {Paul Erd\H{o}s and Leo Moser},
title = {{On the representation of directed graphs as unions of orderings}},
journal = {Magyar Tud. Akad. Mat. Kutats Int. Kvzl.},
volume = {9},
year = {1964},
pages = {125-132},
},
@article{ErRa69,
author = {Paul Erd\H{o}s and Richard Rado},
title = {{Intersection Theorems for Systems of Sets II}},
journal = {Journal of the London Mathematical Society},
volume = {44},
year = {1969},
pages = {467--479},
},
@article{ErRa,
author = {Paul Erd\H{o}s and Richard Rado},
title = {{A combinatorial theorem}},
journal = {Journal of the London Mathematical Society},
volume = {25},
year = {1950},
pages = {249--255},
usedin = {},
},
@article{ErSz,
author = {Paul Erd\H{o}s and George Szekeres},
title = {{A combinatorial problem in geometry}},
journal = {??},
volume = {2},
year = {1935},
pages = {463--470},
},
@article{ErBr,
author = {Nicolaas G. de Bruijn and Paul Erd\H{o}s},
title = {{A colour problem for infinite graphs and a problem in the
theory of relation}},
journal = {Akademia Amsterdam},
volume = {13},
year = {1951},
pages = {371--373},
},
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author = {Evans, D. and Hrushovski, Ehud},
title = {Projective Planes in Algebraically
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journal = {Proceedings of London Mathematical Society (3)},
volume = {62},
pages = {1-24},
year = {1991},
},
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author = {Evans, D. and Hrushovski, Ehud},
title = {On Finite Covers of $\aleph_0$ Categorical
Structures},
journal = {Annals of Pure and Applied Logic},
volume = {to appear},
},
@article{EvHrxy,
author = {Evans, D. and Hrushovski, Ehud},
title = {The automorphism groups of the
combinatorial geometry of an algebraically closed field},
journal = {Journal of the London Mathematical Society},
volume = {to appear},
},
@book{ErSp,
author = {Paul Erd\H{o}s and Joel Spencer},
title = {{Probabilistic Methods in Combinatorics}},
publisher = {Academic Press, New York},
year = {1974},
usedin = {},
},
@article{Fa76,
author = {Ronald Fagin},
title = {{Probabilities in finite models}},
journal = {Journal of Symbolic Logic},
volume = {45},
year = {1976},
pages = {129--141},
},
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year = {1999},
volume = {42},
pages = {235-238},
},
@article{FeVa59,
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title = {The first order properties of products of algebraic systems},
journal = {Fund. Math.},
year = {1959},
volume = {47},
pages = {57--103},
},
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author = {E. Fischer and J.A. Makowsky},
title = {On Spectra of Sentences of Monadic second order logic with counting},
journal = {Journal of Symbolic Logic},
year = {2003},
volume = {to appear},
pages = {},
},
@book{Fis73,
author = {Peter Fishburn},
title = {{The Theory of Social Choice}},
publisher = {Princeton University Press},
year = {1973},
},
@inproceedings{Fis77,
title = {{Abelian structures. I.}},
author = {Edward R. Fisher},
booktitle = {Abelian group theory (Proc. Second New Mexico State Univ. Conf.,
Las Cruces, N.M., 1976)},
series = {Lecture Notes in Math.},
volume = {616},
publisher = {Springer},
address = {Berlin},
year = {1977},
pages = {270--322},
},
@article{Fl74,
author = {William G. Fleissner},
title = {{Normal Moore spaces in the constructible univers}},
journal = {Proceedings of the American Mathematical Society},
volume = {46},
year = {1974},
pages={294--298},
},
@article{Fli77,
author = {Fleissner, William G.},
title = {{Questions, 1977}},
journal = {preprint},
volume = {},
year = {},
pages = {},
},
@incollection{Fl84,
author = {William G. Fleissner},
title = {{The Normal Moore Space Conjecture}},
booktitle = {{Handbook of Set--Theoretic Topology}},
year = {1984},
pages={733--760},
},
@inproceedings{Fl77,
author = {Fleissner, William G.},
title = {{On $\lambda$ collection Hausdorff spaces}},
booktitle = {{Proceedings of the 1977 Topology Conference (Louisiana
State Univ., Baton Rouge, La., 1977), II.}},
series = {Topology Proceedings},
volume = {2},
year = {1977},
pages = {445--456},
},
@article{FoLa88,
author = {Matthew Foreman and Richard Laver},
title = {{Some Downward Transfer Properties for $\aleph_2$}},
journal = {Advances in Mathematics},
volume = {67},
year = {1988},
pages = {230--238},
},
@article{FoTo,
author = {Matthew Foreman and Stevo Todor\v{c}evi\'{c}},
title = {{A new L\"owenheim-Skolem theorem}},
journal = {Transactions of the American Mathematical Society},
volume = {357},
year = {2005},
pages = {1693--1715},
},
@article{FW,
author = {Matthew Foreman and Hugh Woodin},
title = {{The generalized continuum hypothesis can fail everywhere}},
journal = {Annals Math.},
volume = {133},
year = {1991},
pages = {1--36},
usedin = {cardarith},
},
@phdthesis{For,
author = {Matthew Foreman},
title = {???},
year = {},
school = {},
},
@article{FG88,
author = {Franzen, Berthold and G\"obel, R\"udiger},
title = {Prescribing endomorphism algebras. The cotorsion-free case},
journal = {Rend. Sem. Mat. Univ. Padova},
volume = {80},
year = {1988},
pages = {215--241},
},
@article {FN,
AUTHOR = {Freese, Ralph and Nation, J. B.},
TITLE = {Congruence lattices of semilattices},
JOURNAL = {Pacific J. Math.},
VOLUME = {49},
YEAR = {1973},
PAGES = {51--58},
MRCLASS = {06A20},
MRNUMBER = {48 #10916},
MRREVR = {E. T. Schmidt},
}
@article{Fe94,
author = {David Fremlin},
title = {{Problem list}},
note = {Circulated notes {\tt
http://www.essex.ac.uk/maths/staff/fremlin/measur.htm}},
},
@book{Fre,
author = {David Fremlin},
title = {{Consequences of Martin's Axiom}},
publisher = {Cambrdge U.P.},
year = {1984},
},
@incollection{Fi,
author = {David Fremlin},
title = {Measure Algebras},
booktitle = {Handbook of Boolean Algebras},
year = {1989},
publisher = {North--Holland},
note = {Monk D., Bonnet R. eds.},
},
@inproceedings{Fe93,
author = {David Fremlin},
title = {{Real--valued--measurable cardinals}},
series = {Israel Mathematical Conference Proceedings},
volume = {6},
booktitle = {Set Theory of the Reals},
pages = {151--304},
year = {1993},
},
@article{Fe91,
author = {David Fremlin},
title = {{Covering squares with independent squares}},
journal = {Mathematika},
volume = {38},
pages = {329--333},
year = {1991},
note = {See also: Postscript to the above, University of Essex
Mathematics Department Research Report 91-21,
version 30.9.1992},
},
@article{Fri99,
author = {Ehud Friedgut},
title = {{Sharp thresholds of graph properties, and the $k$-sat
problem. With an appendix by Jean Bourgain}},
journal = {J. Amer. Math. Soc.},
volume = {12},
year = {1999},
pages = {1017--1054},
},
@article{Fr,
author = {Harvey Friedman},
title = {{One hundred and two problems in mathematical logic}},
journal = {Journal of Symbolic Logic},
volume = {40},
year = {1975},
pages = {113--129},
},
@article{Fr75,
author = {Harvey Friedman},
title = {{One hundred and two problems in mathematical logic}},
journal = {Journal of Symbolic Logic},
volume = {40},
year = {1975},
pages = {113--129},
},
@Book{Fu,
author = "Laszlo Fuchs",
title = "{Infinite Abelian Groups}",
publisher = "Academic Press",
year = "1970, 1973",
volume = "I, II",
address = "New York"
},
@Book{Fuc73,
author = "Laszlo Fuchs",
title = "{Infinite Abelian Groups}",
publisher = "Academic Press",
year = "1970, 1973",
volume = "I, II",
address = "New York"
},
@incollection {Fuc74,
AUTHOR = {Fuchs, L{\'a}szl{\'o}},
TITLE = {Indecomposable abelian groups of measurable cardinalities},
BOOKTITLE = {Symposia {M}athematica, {V}ol. {XIII} ({C}onvegno di {G}ruppi
{A}beliani, {INDAM}, {R}ome, 1972)},
PAGES = {233--244},
PUBLISHER = {Academic Press},
ADDRESS = {London},
YEAR = {1974},
},
@article{FuGb08,
AUTHOR = {Fuchs, Laszlo and G{\"o}bel, R{\"u}diger},
TITLE = {Modules with absolute endomorphism rings},
JOURNAL = {Israel J. Math.},
FJOURNAL = {Israel Journal of Mathematics},
VOLUME = {167},
YEAR = {2008},
PAGES = {91--109},
},
@incollection{Fu65,
author = {E. G. Furkhen},
title = {{Languages with added quantifier ``there exist at least
$\aleph_\alpha$''}},
booktitle = {{The Theory of Models}},
editor = {J.~V. Addison and L.~A. Henkin and A. Tarski},
publisher = {North--Holland Publishing Company},
year = {1965},
pages = {121--131},
},
@book{Fu81,
author = {H. Furstenberg},
title = {{Recurrence in Ergodic Theory and Combinatorial Number Theory}},
series = {M. B. Porter Lectures},
publisher = {Princeton University Press},
year = {1981},
},
@incollection {Gai74,
AUTHOR = {Gaifman, Haim},
TITLE = {Elementary embeddings of models of set-theory and certain
subtheories},
BOOKTITLE = {Axiomatic set theory ({P}roc. {S}ympos. {P}ure {M}ath., {V}ol.
{XIII}, {P}art {II}, {U}niv. {C}alifornia, {L}os {A}ngeles,
{C}alif., 1967)},
PAGES = {33--101},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence R.I.},
YEAR = {1974},
},
@inproceedings{Gai81,
AUTHOR = {Gaifman, Haim},
TITLE = {On local and nonlocal properties},
BOOKTITLE = {Proceedings of the {H}erbrand symposium ({M}arseilles, 1981)},
SERIES = {Stud. Logic Found. Math.},
VOLUME = {107},
PAGES = {105--135},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1982},
},
@inproceedings{Gal75,
author = {F. Galvin},
title = {{On a partition theorem of Baumgartner and Hajnal}},
booktitle = {{Infinite and Finite Sets (Colloq., Keszthely, 1973; dedicated
to P. Erd\H{o}s on his 60th Birthday)}},
series = {Colloq. Math. Soc. J\'anos Bolyai},
volume = {10},
publisher = {North-Holland},
address = {Amsterdam},
year = {1975},
pages = {711--729},
},
@article{GFJ97,
author = {Salvador Garcia--Ferreira and Winfried Just},
title = {{Two examples of relatively pseudocompact spaces}},
journal = {Questions and Answers in General Topology},
volume = {17},
year = {1999},
pages = {35--45},
usedin = {},
},
@article{GH,
author = {Fred Galvin and Andras Hajnal},
title = {{Inequalities for cardinal powers}},
journal = {Annals Math.},
volume = {101},
year = {1975},
pages = {491-498},
usedin = {cardarith},
},
@article{GH75,
author = {Fred Galvin and Andras Hajnal},
title = {{Inequalities for cardinal powers}},
journal = {Annals of Mathematics},
volume = {101},
year = {1975},
pages = {491-498},
},
@article{GJM,
author = {Fred Galvin and Thomas Jech and Menachem Magidor},
title = {{An ideal game}},
journal = {J. of Symb. Logic.},
volume = 43,
year = 1978,
pages = {284-292},
},
@article{Ga65,
zb = {305.02028},
author="Gavrilov, G.P.",
title="{Ueber funktionale Vollstaendigkeit in der abzaehlbar-wertigen Logik.}",
language="Russian",
journal="Probl. Kibernetiki",
volume="15",
pages="5-64",
year="1965",
msc="{*03B50 Many-valued logic, 94C10 Switching theory}",
}
@article{GHS,
author = {Gerlits, J. and Hajnal, Andras and Szentmiklossy, Z.},
title = {{On the cardinality of certain Hausdorff spaces}},
note = {{Topological, algebraical and combinatorial
structures. Frolik's Memorial Volume}},
journal = {Discrete Mathematics},
volume = {108},
year = {1992},
pages = {31--35},
},
@article{Gi1,
author = {Moti Gitik},
title = {{The strength of the failure of the singular cardinal hypothesis}},
journal = {Annals of Pure and Applied Logic},
volume = {51},
year = {1991},
pages = {215--240},
usedin = {cardarith},
},
@article{Gi,
author = {Moti Gitik},
title = {{The negation of SCH from $o(\kappa)=\kappa^{++}$}},
journal = {Annals of Pure and Applied Logic},
volume = {43},
year = {1989},
pages = {209--234},
usedin = {cardarith},
},
@article {Gi05,
AUTHOR = {Gitik, Moti},
TITLE = {No bound for the first fixed point},
JOURNAL = {J. Math. Log.},
FJOURNAL = {Journal of Mathematical Logic},
VOLUME = {5},
YEAR = {2005},
NUMBER = {2},
PAGES = {193--246},
},
@incollection{Gi10,
author = {Gitik, Moti},
title = {Prikry-Type forcing},
volume = {2},
year = {2010},
pages = {1351--1448},
booktitle = {Handbook of Set Theory},
publisher = {Springer},
editor = {Matthew Foreman and Akihiro Kanamori},
},
@article{GiKo10pr,
author = {Moti Gitik and Peter Koepke},
title = {Violating the Singular Cardinals Hypothesis Without
Large Cardinals},
},
@article{GM1,
author = {Moti Gitik and Menachem Magidor},
title = {{Extender based Forcing}},
journal = {J. of Symb Logic},
note = {submitted},
usedin = {cardarith},
},
@inproceedings{GM,
author = {Moti Gitik and Menachem Magidor},
title = {{The Singular Cardinals Hypothesis revisited}},
booktitle = {{The Proc. of MSRI conference on The Set Theory of the Continuum}},
editor = {H. Judah and W. Just and H. Woodin},
pages = {243--380},
series = {Mathematical Sciences Research Institute Publications},
publisher = {Springer Verlag},
year = {1992},
usedin = {cardarith},
},
@article{Gi80,
author = {Moti Gitik},
title = {{All uncountable cardinals can be singular}},
journal = {Israel Journal of Mathematics},
volume = {35},
year = {1980},
pages = {61--88},
},
@article{Gi81,
author = {Moti Gitik},
title = {{On nonminimal $p$-points over a measurable cardinal}},
journal = {Annals of Mathematical Logic},
volume = {20},
year = {1981},
pages = {269--288},
},
@article{GKLT,
author = {Y.V. Glebskii and D.I. Kogan and M.I. Liagonkii and V.A. Talanov},
title = {{Range and degree of reliability of formulas in restricted
predicate calculus}},
journal = {Kibernetica},
volume = {5},
year = {1969},
pages = {17-27},
note = {translation of {\it Cybernetics} vol 5 pp 142-154},
},
@article{G80,
author = {G\"obel, R\"udiger},
title = {{Darstellung von Ringen als Endomorphismenringe}},
journal = {Arch. Math. (Basel)},
volume = {35},
year = {1980},
pages = {338--350},
},
@incollection{G84,
author = {G\"obel, R\"udiger},
title = {{The existence of rigid systems of maximal size}},
booktitle = {Abelian groups and modules (Udine, 1984)},
pages = {189--202},
serioes = {CISM Courses and Lectures},
volume = {287},
publisher = {Springer},
address = {Vienna},
year = {1984},
},
@book{GbTl05,
author = {G\"obel, R\"udiger and Trlifaj, Jan},
title = {{Approximations and endomorphism algebras of modules}},
publisher = {Walter de Gruyter},
series = {de Gruyter Expositions in Mathematics},
volume = {41},
year = {2006},
address = {Berlin},
note = {},
},
@book{GbTl06,
author = {G\"obel, R\"udiger and Trlifaj, Jan},
title = {{Approximations and endomorphism algebras of modules}},
publisher = {Walter de Gruyter},
series = {de Gruyter Expositions in Mathematics},
volume = {41},
year = {2006},
address = {Berlin},
note = {},
},
@book{GbTl12,
author = {G\"obel, R\"udiger and Trlifaj, Jan},
title = {Approximations and endomorphism algebras of modules, Vol. I, II},
publisher = {Walter de Gruyter},
series = {de Gruyter Expositions in Mathematics},
year = {2012},
note = {},
}
@article{GbMa90,
author = {G\"obel, R\"udiger and May, Warren},
title = {{Four submodules suffice for realizing algebras over commutative
rings}},
journal = {Journal of Pure and Applied Algebra},
volume = {65},
year = {1990},
pages = {29--43},
},
@inproceedings{Go,
author = {Martin Goldstern},
title = {{Tools for your forcing construction}},
series = {Israel Mathematical Conference Proceedings},
volume = 6,
booktitle = {Set Theory of the Reals},
pages = {305--360},
pif = { should be in some list! },
},
@article{GoJu,
author = {Martin Goldstern and Haim Judah},
title = {{Iteration of Souslin Forcing, Projective Measurability and
the Borel Conjecture}},
journal = {Israel Journal of Mathematics},
year = {1992},
volume = {78},
pages = {335-362},
},
@article{GJS94,
author ={Goldstern, Martin and Johnson, Mark J. and Spinas, Otmar},
title = {Towers on trees},
journal = {Proceedings of the American Mathematical Society},
volume = {122},
year = {1994},
pages = {557--564},
},
@book{G,
author = {Kurt G\"odel},
title = {{The consistency of the axiom of choice and the generalized
continuum-hypothesis with the axiomes of set theory}},
publisher = {Princeton University Press},
year = {1940},
usedin = {cardarith},
},
@article{GrHrxx,
author = {Grabarnik, Gennady and Hrushovski, Ehud},
title = {Singular Compactness and Neveu
Decomposition},
journal = {Israel Journal of Mathematics},
volume = {89},
year = {1995},
pages = {135--139},
},
@book{GrRoSp,
author = {Ronald Graham and Bruce L. Rothschild and Joel Spencer},
title = {{Ramsey Theory}},
series = {{Willey -- Interscience Series in Discrete Mathematics}},
year = {1990},
publisher = {Willey, New York},
note = {2nd edition},
usedin = {},
},
@book{GRS80,
author = {Ronald Graham and Bruce L. Rothschild and Joel Spencer},
title = {{Ramsey Theory}},
series = {{Willey -- Interscience Series in Discrete Mathematics}},
year = {1980},
publisher = {Willey, New York},
usedin = {},
},
@article{GR71,
author={R.L. Graham and B.L. Rothschild},
title = {Ramsey's theorem for $n-$parameter sets},
journal = {Transactions of the American Mathematical Society},
volume={159},
year = {1971},
pages = {257--292},
},
@article{GG84,
author = {Grande, Eulalia and Grande, Zbigniew},
title = {{Quelques remarques sur la superposition $F(x,f(x))$}},
journal = {Fundamenta Mathematicae},
volume = {121},
year = {1984},
pages = {199--211},
},
@article{GL78,
author = { Grande, Zbigniew and Lipi\'nski, Jan S.},
title = {{Un exemple d'une fonction sup-mesurable qui n'est pas
mesurable}},
journal = {Colloquium Mathematicum},
volume = {39},
year = {1978},
pages = {77--79},
},
@PhdThesis{Gr,
author = "C. Gray",
title = "{Iterated Forcing from the Strategic Point of View}",
school = "UC Berkeley",
year = "1982",
},
@article{Gre,
author = {Gregory, John},
title = {{Higher Souslin trees and the generalized continuum hypothesis}},
journal = {Journal of Symbolic Logic},
volume = {41},
year = {1976},
number = {3},
pages = {663--671},
},
@article{Gre76,
author = {Gregory, John},
title = {{Higher Souslin trees and the generalized continuum hypothesis}},
journal = {Journal of Symbolic Logic},
volume = {41},
year = {1976},
number = {3},
pages = {663--671},
},
@book{Gri02,
author = {Grinblat, L. \v{S}.},
title = {{Algebras of sets and combinatorics}},
note = {Translated from the Russian manuscript by A. Stoyanovski\u\i. With
an appendix by Saharon Shelah},
series = {Translations of Mathematical Monographs},
volume = {214},
publisher = {American Mathematical Society},
address = {Providence, RI},
year = {2002},
},
@article{Gr91,
author = {Rami Grossberg},
title = {{ On chains of relatively saturated submodels of a model without
the order property}},
journal = {Journal of Symbolic Logic},
volume = {56},
year = {1991},
pages = {124--128},
},
@article{Gr91a,
author = {Rami Grossberg},
title = {{Indiscernible sequences in models which fail to have the
independence property}},
journal = {Journal of Symbolic Logic},
year = {1991},
volume = {56},
pages = {115-123},
},
@incollection{Gr02,
author = {Rami Grossberg},
title = {{Classification theory for abstract elementary classes}},
booktitle = {{Proceedings of Bilgi Conference, Istanbul, Turkey, 2001}},
editors = {Yi},
series = {Perspectives in Mathematical Logic},
publisher = {Springer-Verlag},
year = {2002},
},
@article{GIL02,
author = {Rami Grossberg and Jose Iovino and Olivier Lessmann},
title = {{A primer of simple theories}},
journal = {Archive for Mathematical Logic},
volume = {41},
year = {2002},
pages = {541--580},
},
@article{GKTV03,
author = {Rami Grossberg, Alexei Kolesnikov, Ivan Toma{\v s}i\'c and Monica
VanDieren},
title = {{The equality $S1=D=R$}},
journal = {Mathematical Logic Quarterly},
year = {2003},
volume = {49},
pages = {115-128},
},
@article{GrLe00,
author = {Rami Grossberg and Olivier Lessmann},
title = {{Local order property in nonelementary classes}},
journal = {Archive for Mathematical Logic},
volume = {39},
year = {2000},
pages = {439--457},
},
@article{GrLe0x,
author = {Rami Grossberg and Olivier Lessmann},
title = {{The main gap for totally transcendental diagrams and abstract
decomposition theorems}},
journal = {Preprint},
volume = {},
year = {},
pages = {},
},
@article{GrLe0xx,
author = {Rami Grossberg and Olivier Lessmann},
title = {{Abstract decomposition theorem and applications}},
journal = {submitted},
volume = {},
year = {},
pages = {},
},
@article{GrLe0y,
author = {Rami Grossberg and Olivier Lessmann},
title = {{Dependence relation in pregeometries}},
journal = {Algebra Universalis},
volume = {44},
year = {2000},
pages = {199-216},
},
@article{GrLe00a,
author = {Rami Grossberg and Olivier Lessmann},
title = {{Dependence relation in pregeometries}},
journal = {Algebra Universalis},
volume = {44},
year = {2000},
pages = {199-216},
},
@article{GrLe0z,
author = {Rami Grossberg and Olivier Lessmann},
title = {{Shelah's stability and homogeneity spectrum in finite diagrams}},
journal = {Archive for Mathematical Logic},
volume = {41},
year = {2002},
pages = {1-31},
},
@article{GrLe02,
author = {Rami Grossberg and Olivier Lessmann},
title = {{Shelah's stability spectrum and homogeneity spectrum in finite
diagrams}},
journal = {Archive for Mathematical Logic},
volume = {41},
year = {2002},
pages = {1-31},
},
@article{GrHa89,
author = {Rami Grossberg and Bradd Hart},
title = {{The classification of excellent classes}},
journal = {Journal of Symbolic Logic},
year = {1989},
volume = {54},
pages = {1359--1381},
},
@article{GrVa0xa,
author = {Rami Grossberg and Monica VanDieren},
title = {{Galois-stbility for Tame Abstract Elementary Classes}},
journal = {submitted},
year = {},
volume = {},
pages = {},
},
@article{GrVa0xb,
author = {Rami Grossberg and Monica VanDieren},
title = {{Upward Categoricity Transfer Theorem for Tame Abstract Elementary
Classes}},
journal = {submitted},
year = {},
volume = {},
pages = {},
},
@article{Gr94,
author = {Groszek, Marcia},
title = {$\omega^*_1$ as an initial segment of the c-degrees},
journal = {Journal of Symbolic Logic},
volume = {59},
year = {1994},
},
@article{GJ91,
author = {Groszek, Marcia and Jech, Thomas},
title = {Generalized iteration of forcing},
journal = {Transactions of the American Mathematical Society},
volume = {324},
year = {1991},
pages = {1--26},
},
@article{GL87,
author = {Groszek, Marcia and Laver, Richard},
title = {{Finite groups of OD-conjugates}},
journal = {Period. Math. Hungar.},
volume = {18},
year = {1987},
pages = {87--97},
},
@incollection{Gu,
author = {Yuri Gurevich},
chapter = {XIII},
title = {{Monadic Second--Order Theories}},
booktitle = {{Model Theoretic Logics}},
editor = {J. Barwise and S. Feferman},
series = {Perspectives in Mathematical Logic},
publisher = {Springer-Verlag},
address = {New York Berlin Heidelberg Tokyo},
year = {1985},
pages = {479--506},
},
@incollection{Gu2,
author = {Yuri Gurevich},
title = {{Logic and the Challenge of Computer Science}},
booktitle = {{Current Trends in Theoretical Computer Science}},
editor = {E. B\"orger},
publisher = {Computer Science Press},
year = {1988},
pages = {1--57},
},
@incollection{Gu3,
author = {Yuri Gurevich},
title = {{Evolving Algebra 1993: Lipari Guide}},
booktitle = {{Specification and Validation Methods}},
editor = {E. B\"orger},
publisher = {Oxford University Press},
year = {1995},
pages = {9--36},
},
@article{Gu4,
author = {Yuri Gurevich},
title = {{A broadcast to the finite model theory net on July 12, 1997}},
},
@article{Gu77,
author = {Gurevich, Yuri},
title = {{Monadic theory of order and topology. I.}},
journal = {Israel Journal of Mathematics},
volume = {27},
year = {1977},
pages = {299--319},
},
@article{Gu77a,
author = {Gurevich, Yuri},
title = {{Expanded theory of ordered abelian groups}},
journal = {Annals of Mathematical Logic},
volume = {12},
year = {1977},
pages = {193--228},
},
@incollection{Gu85,
author = {Yuri Gurevich},
chapter = {XIII},
title = {{Monadic Second--Order Theories}},
booktitle = {{Model Theoretic Logics}},
editor = {J. Barwise and S. Feferman},
series = {Perspectives in Mathematical Logic},
publisher = {Springer-Verlag},
address = {New York Berlin Heidelberg Tokyo},
year = {1985},
pages = {479--506},
},
@article {HbRr07,
AUTHOR = {Haber, Simi and Krivelevich, Michael},
TITLE = {On fractional {$K$}-factors of random graphs},
JOURNAL = {Random Structures Algorithms},
FJOURNAL = {Random Structures \& Algorithms},
VOLUME = {30},
YEAR = {2007},
NUMBER = {4},
PAGES = {441--463},
},
@article{Ha1,
author = {Richard G. Haydon},
title = {{On Banach spaces which contain $\ell^1(\tau)$ and types of
measures on compact spaces}},
journal = {Israel Journal of Mathematics},
volume = {28},
year = {1977},
pages = {313--324},
},
@article{Ha2,
author = {Richard G. Haydon},
title = {{On dual $L^1$-spaces and injective bidual Banach spaces}},
journal = {Israel Journal of Mathematics},
volume = {31},
year = {1978},
pages = {142--152},
},
@article{Ha61,
author = {Andras Hajnal},
title = {{Proof of a conjecture of S.Ruziewicz}},
journal = {Fundamenta Mathematicae},
volume = {50},
year = {1961/1962},
pages = {123--128},
},
@incollection{Ha93,
author = {Andras Hajnal},
title = {{True embedding partition relations}},
booktitle = {{Finite and Infinite Combinatorics in Sets and Logic}},
volume = {},
year = {1993},
pages = {135--152},
publisher = {Kluwer Academic Publishers},
},
@article{HaKo97,
author = {Andras Hajnal and Peter Komjath},
title = {{A strongly non-Ramsey order type}},
journal = {Combinatorica},
volume = {17, no.3},
year = {1997},
pages = {363--367},
},
@article{Hmk98,
author = {Joel D. Hamkins},
title = {{Every group has a terminating transfinite automorphism tower}},
journal = {Proc. Amer. Math. Soc.},
volume = {to appear},
year = {},
pages = {},
},
@article{Hm98,
author = {Joel D. Hamkins},
title = {{Every group has a terminating transfinite automorphism tower}},
journal = {Proc. Amer. Math. Soc.},
volume = {126},
year = {1998},
pages = {3223--3226},
},
@book{HH,
author = {Andras Hajnal and Peter Hamburger},
title = {{Halmazelm\'elet (Set Theory)}},
publisher = {Tank\"onyvkia\'o V\'allalat, Budapest, Hungary},
year = {1983},
usedin = {cardarith},
},
@book{HH99,
author = {Andras Hajnal and Peter Hamburger},
title = {Set theory},
note = {{Translated from the 1983 Hungarian original by Attila Mati}},
series = {London Mathematical Society Student Texts},
volume = {48},
publisher = {Cambridge University Press},
address = {Cambridge},
year = {1999},
},
@article{HaJuSz,
author = {Andras Hajnal and Istvan Juhasz and Z. Szentmiklossy},
title = {{On the structure of CCC partial orders}},
journal = {Algebra Universalis},
volume = {to appear},
},
@article{Ha35,
author = {Philip Hall},
title = {{On representatives of subsets}},
journal = {Journal of the London Mathematical Society},
volume = {10},
year = {1935},
pages = {26--30},
},
@article{HHL00,
author = {Hart, Bradd and Hrushovski, Ehud and Laskowski, Michael C.},
title = {The uncountable spectra of countable theories},
journal = {Annals of Mathematics},
volume = {152},
year = {2000},
pages = {207--257},
},
@book{HaHrMa08,
AUTHOR = {Haskell, Deirdre and Hrushovski, Ehud and Macpherson, Dugald},
TITLE = {Stable domination and independence in algebraically closed
valued fields},
SERIES = {Lecture Notes in Logic},
VOLUME = {30},
PUBLISHER = {Association for Symbolic Logic},
ADDRESS = {Chicago, IL},
YEAR = {2008},
PAGES = {xii+182},
},
@article{He71,
author = {Stephen H. Hechler},
title = {{Classifying almost-disjoint families with applications to
$\beta N-N$}},
journal = {Israel Journal of Mathematics},
volume = {10},
year = {1971},
pages = {413--432},
},
@article{He,
author = {Stephen H. Hechler},
title = {{Powers of singular cardinals and a strong form of the negation of the generalized continuum hypothesis}},
journal = {Z. Math. Logik Grundlagen Math.},
volume = {19},
year = {1973},
pages = {83--84},
usedin = {cardarith},
},
@article {He72,
AUTHOR = {Hechler, Stephen H.},
TITLE = {Short complete nested sequences in {$\beta N\backslash N$} and
small maximal almost-disjoint families},
JOURNAL = {General Topology and Appl.},
VOLUME = {2},
YEAR = {1972},
PAGES = {139--149},
MRCLASS = {02K05 (02K25 04A20 54D40)},
MRNUMBER = {0307913 (46 \#7028)},
MRREVIEWER = {L. Bukovsky},
}
@article{He74,
author = {Henson, C. Ward},
title = {{The isomorphism property in nonstandard analysis and its use
in the theory of Banach spaces}},
journal = {Journal of Symbolic Logic},
volume = {39},
year = {1974},
pages = {717--731},
},
@incollection{HeIo02,
author = {Henson, C. Ward and Iovino, Jose},
title = {{Ultraproducts in analysis}},
booktitle = {Analysis and logic (Mons, 1997)},
pages = {1--110},
series= {London Math. Soc. Lecture Note Ser.},
volume = {262},
publisher = {Cambridge Univ. Press},
address = {Cambridge},
year = {2002},
},
@incollection {He12,
AUTHOR = {Herden, Daniel},
TITLE = {Upper cardinal bounds for absolute structures},
BOOKTITLE = {Groups and model theory},
SERIES = {Contemp. Math.},
VOLUME = {576},
PAGES = {137--150},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {2012},
},
@phdthesis{He92,
author = {A. Hernandez},
title = {{On $\omega_1$--saturated models of stable theories}},
school = {Univ. of Calif. Berkeley},
year = {1992},
note = {Advisor: Leo Harrington},
},
@article{H,
author = {Edwin Hewitt},
title = {{A remark on density characters}},
journal = {Bull. Amer. Math. Soc},
volume = {52},
year = {1946},
pages = {641-643},
usedin = {cardarith},
},
@article{Hi78,
author = {Ken Hickin},
title = {Complete universal locally finite groups},
journal = {Transactions of the American Mathematical Society},
volume = {239},
year = {1978},
pages = {213--227},
},
@article{Hi72,
author = {Neil Hindman},
title = {The existence of certain ultra-filters on $N$ and a conjecture
of Graham and Rothschild},
journal = {Proceedings of the American Mathematical Society},
volume = {36},
year = {1972},
pages = {341--346},
},
@article{Hi74,
author = {Neil Hindman},
title = { Finite sums from sequences within cells of a partition of
$\mathbb N$},
journal = {Journal of Combinatorial Theory, series A},
volume = {17},
year = {1974},
pages = {1--11},
},
@article{Ho73,
author = {Wilfrid Hodges},
title = {{Models in which all long indiscernible sequences are
indiscernible sets}},
journal = {Fundamenta Mathematicae},
volume = {78, no.1},
year = {1973},
pages = {1--6},
},
@article{Ho81,
author = {Wilfrid Hodges},
title = {{For singular $\lambda$, $\lambda$-free, implies free.}},
journal = {Algebra Universalis},
volume = {12},
year = {1981},
pages = {205--220},
},
@article{HSW09,
author = {Holz, M. and Steffens, K. and Weitz, E.},
TITLE = {Introduction to cardinal arithmetic},
SERIES = {Birkh\"auser Advanced Texts: Basler Lehrb\"ucher.
[Birkh\"auser Advanced Texts: Basel Textbooks]},
PUBLISHER = {Birkh\"auser Verlag},
ADDRESS = {Basel},
YEAR = {1999},
PAGES = {viii+304},
},
@book{Ho93,
author = {Wilfrid Hodges},
title = {{Model theory}},
series = {{Encyclopedia of Mathematics and its Applications}},
volume = {42},
publisher = {Cambridge University Press},
address = {Cambridge},
year = {1993},
},
@book{Ho97,
author = {Wilfrid Hodges},
title = {{A shorter model theory}},
publisher = {Cambridge University Press},
address = {Cambridge},
pages = {x+310 },
year = {1997},
},
@article{HP98,
author = {Miroslav Haviar and Miroslav Plo{\v{s}}{\v{c}}ica},
title = {On order-polynomial completeness of lattices},
journal = {Algebra Universalis},
volume = {39},
year = {1998},
number = {3-4},
},
@article{Hr89,
author = {Hrushovski, Ehud},
title = {Kueker's Conjecture for Stable Theories},
journal = {Journal of Symbolic Logic},
volume = {54},
pages = {207-220},
year = {1989},
},
@article{Hr89a,
author = {Hrushovski, Ehud},
title = {Finitely Based Stable Theories},
journal = {Journal of Symbolic Logic},
volume = {54},
pages = {221--225},
year = {1989},
},
@article{Hr89b,
author = {Hrushovski, Ehud},
title = {Almost Orthogonal Regular Types},
journal = {Annals of Pure and Applied Logic},
volume = {45.},
pages = {139-155},
year = {1989},
},
@article{Hr89c,
author = {Hrushovski, Ehud},
itle = {Totally Categorical Structures},
journal = {AMS Transactions},
volume = {313},
numer = 1,
pages = {131-159},
year = 1989,
},
@article{Hr90a,
author = {Hrushovski, Ehud},
title = {Unidimensional Theories are Superstable},
journal = {Annals of Pure and Applied Logic},
volume = {50},
pages = {117-138},
year = {1990},
},
@article{Hr1,
author = {Ehud Hrushovski},
title = {{PAC structures}},
journal = {preprint},
year = {1990},
},
@article{Hr2,
author = {Ehud Hrushovski},
title = {{Paralel to finite rank}},
note = {{???}},
journal = {notes},
year = {},
},
@article{Hr92a,
author = {Hrushovski, Ehud},
title = {Unimodular Minimal Structures},
journal = {Journal of the London Mathematical Society},
volume = {46},
pages = {385-396},
year = 1992,
},
@article{Hr92b,
author = {Hrushovski, Ehud},
title = {Strongly Minimal Expansions of Algebraically Closed Fields},
journal = {Israel Journal of Mathematics},
volume = {79},
pages = {, 129-151},
year = {1992},
},
@article{Hrxx,
author = {Hrushovski, Ehud},
title = {Extending partial isomorphisms of graphs},
journal = {Combinatorica},
volume = {in press},
},
@article{Hrxy,
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title = {{Problems I wish I could solve}},
booktitle = {{Open problems in topology}},
editor = {J.~van Mill and G.~M.~Reed},
publisher = {North--Holland},
year = {1990},
pages = {37--76},
},
@article{Wel39,
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journal = {Math. Z.},
volume = {45},
year = {1939},
pages = {209--244},
},
@article{Wi,
author = {Edward L. Wimmers},
journal = {Israel Journal of Mathematics},
year = {1982},
volume = {43},
title = {{The Shelah $P$-point independence theorem}},
pages = {28--48},
pif = {Wimmer or wimmers? See C-list},
},
@incollection{Wl84,
author = {Scott W. Williams},
booktitle = {{Handbook of Set--Theoretic Topology}},
publisher = {Elsevier Science Publishers},
address = {Amsterdam},
title = {{Box Products}},
year = {1984},
pages = {169--200},
editor = {K.~Kunen and J.~E.~Vaughan},
},
@article{Wd72,
author = {Wood, Carol},
title = {Forcing for infinitary languages},
journal = {Z. Math. Logik Grundlagen Math.},
volume = {18},
year = {1972},
pages = {385--402},
},
@Unpublished{Wo,
author = "Hugh Woodin",
title = "{It is consistent that $ 2^{\aleph_\alpha } =
\aleph_ { \alpha +2 }$ for every $\alpha $}",
note = "in preparation"
},
@book{Woxx,
author = {Hugh Woodin},
title = {{The Axiom of Determinacy, Forcing Axioms and the Nonstationary Ideal}},
publisher = {De Gruyter},
series = {de Gruyter Series in Logic and its Applications},
volume = {1},
year = {in press},
},
@InCollection{W83,
author = "Hugh Woodin",
title = "{Some consistency results in ZF using AD}",
booktitle = "Cabal Seminar",
year = 1983,
volume = 1019,
series = "Lecture Notes in Mathematics",
pages = "172--199"
},
@unpublished{Wo99,
author = "Hugh Woodin",
title = "{Lecture at the Hajnal Conference, Budapest}",
year = "1999",
},
@article{Wd00,
author = {Hugh Woodin},
title = {{The Continuum Hypothesis, Part I}},
journal = {Notices of the American Mathematical Society},
volume = {48},
pages = {567--576},
year = {2001},
},
@phdthesis{Za,
author = {Jindrich Zapletal},
title = {Some Results in Set Theory and Boolean Algebras},
school = {Penn State University},
year = {1995},
},
@article{Za0x,
author = {Jindrich Zapletal},
title = {Determinacy and cardinal invariants},
journal = {Preprint},
year = {2001},
},
@article{Za04,
author = {Zapletal, Jind{\v r}ich},
title = {{Descriptive set theory and definable forcing}},
journal = {Memoirs of the American Mathematical Society},
year = {2004},
volume = {167},
number = {793},
pages = {viii+141},
},
@article{FaZa04x,
author = {Farah, Ilijas and Zapletal, Jind{\v r}ich},
title = {{Between Maharam's and von Neumann's problems}},
journal = {preprint},
note = {math.LO/0401134},
},
@book {Zil93,
AUTHOR = {Zilber, Boris},
TITLE = {Uncountably categorical theories},
SERIES = {Translations of Mathematical Monographs},
VOLUME = {117},
NOTE = {Translated from the Russian by D. Louvish},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1993},
PAGES = {vi+122},
},
@unpublished{Zi0xa,
author = " Zilber, B.I." ,
year = " 2000" ,
title = " Dimensions and homogeneity in mathematical structures",
note= {preprint}
},
@unpublished{Zi0xb,
author = " Zilber, B.I." ,
year = " 2002" ,
title = " A categoricity theorem for quasiminimal excellent classes",
note= {preprint}
},
@unpublished{Zilber,
author = " Zilber, B.I." ,
year = " 2001" ,
title = " Analytic and pseudo-analytic structures",
note= {preprint}
},
@incollection {Zi,
AUTHOR = {{\v{Z}}itomirski{\u\i}, G. I.},
TITLE = {The lattice of all congruence relations on a semilattice},
BOOKTITLE = {Ordered sets and lattices, No. 1 (Russian)},
PAGES = {11--21},
PUBLISHER = {Izdat. Saratov. Univ.},
ADDRESS = {Saratov},
YEAR = {1971},
MRCLASS = {06A20},
MRNUMBER = {51 #12642},
MRREVR = {S. P. Bandyopadhyay},
}
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@incollection{AP,
author = {Shelah, Saharon},
title = {{Appendix}},
publisher = {{Oxford University Press}},
booktitle = {{Cardinal Arithmetic}},
year = {1994},
usedin = {cardarith},
},
@incollection{AG,
author = {Shelah, Saharon},
title = {{Analytical Guide}},
booktitle = {{Cardinal Arithmetic}},
publisher = {{Oxford University Press}},
year = {1994},
usedin = {cardarith},
},
@unpublished{Sh:-E9,
author = {Shelah, S.},
title = {{Remarks on $\aleph_1$-metrizable not metrizable first countable spaces and CWH}},
usedin = {cardarith},
},
@unpublished{Sh:-F50,
author = {Shelah, S.},
title = {{Negative partition relations and pcf}},
usedin = {cardarith},
},
@incollection{Sh:-g7,
author = {Shelah, Saharon },
fromwhere = {IL},
publisher = {{Oxford University Press}},
title = {{Strong Covering Lemma and CH in $V[r]$}},
booktitle = {{Cardinal Arithmetic}},
chapter = {VII},
year = {1994},
done = {7.1986},
usedin = {cardarith},
},
@book{Sh:-b,
review = {MR 84h:03002},
author = {Shelah, Saharon },
fromwhere = {IL},
year = {1982},
volume = {940},
classif = {03-02, 03-, 03},
publisher = {{Springer-Verlag, Berlin-New York, xxix+496 pp}},
series = {{Lecture Notes in Mathematics}},
title = {{Proper Forcing}},
},
@unpublished{FOM,
author = {Stephen G. Simpson (moderator)},
title = {{E-mail list for discussing Foundations of Mathematics}},
note = {{\tt http://www.math.psu.edu/simpson/fom/}},
},
@article{RoSz,
author = {Ivo Rosenberg and I. Szabo},
title = {Local completeness {I}},
journal = {Algebra Universalis},
volume = 18,
year = 1984,
pages = {308--326},
},
@article{Va90,
AUTHOR = {Vaughan, Jerry E.},
TITLE = {Small uncountable cardinals and topology},
BOOKTITLE = {Open problems in topology},
PAGES = {195--218},
NOTE = {With an appendix by S. Shelah},
PUBLISHER = {North--Holland},
ADDRESS = {Amsterdam},
YEAR = {1990},
MRCLASS = {54-02},
MRNUMBER = {1 078 647},
},
@book {Van11,
AUTHOR = {V{\"a}{\"a}n{\"a}nen, Jouko},
TITLE = {Models and games},
SERIES = {Cambridge Studies in Advanced Mathematics},
VOLUME = {132},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {2011},
PAGES = {xii+367},
},
@article {Wil96,
AUTHOR = {Wilkie, A. J.},
TITLE = {Model completeness results for expansions of the ordered field
of real numbers by restricted {P}faffian functions and the
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JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {9},
YEAR = {1996},
NUMBER = {4},
PAGES = {1051--1094},
},
@incollection{Zitomirski-1971,
AUTHOR = {{\v{Z}}itomirski{\u\i}, G. I.}},
TITLE = {The lattice of all congruence relations on a semilattice},
BOOKTITLE = {Ordered sets and lattices, {N}o. 1 ({R}ussian)},
PAGES = {11--21},
PUBLISHER = {Izdat. Saratov. Univ.},
ADDRESS = {Saratov},
YEAR = {1971},
MRCLASS = {06A20},
MRNUMBER = {MR0376467 (51 \#12642)},
MRREVIEWER = {S. P. Bandyopadhyay},
},
@book {Szendrei-1986,
AUTHOR = {Szendrei, {\'A}gnes},
TITLE = {Clones in universal algebra},
SERIES = {S\'eminaire de Math\'ematiques Sup\'erieures [Seminar on
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VOLUME = {99},
PUBLISHER = {Presses de l'Universit\'e de Montr\'eal},
ADDRESS = {Montreal, QC},
YEAR = {1986},
PAGES = {166},
ISBN = {2-7606-0770-4},
MRCLASS = {08A40 (03B50 03C05 08A30 94C10)},
MRNUMBER = {MR859550 (87m:08005)},
MRREVIEWER = {Joel Berman},
},
@book {PK-1979,
AUTHOR = {P{\"o}schel, R. and Kalu{\v{z}}nin, L. A.},
TITLE = {Funktionen- und {R}elationenalgebren},
SERIES = {Mathematische Monographien [Mathematical Monographs]},
VOLUME = {15},
NOTE = {Ein Kapitel der diskreten Mathematik. [A chapter in discrete
mathematics]},
PUBLISHER = {VEB Deutscher Verlag der Wissenschaften},
ADDRESS = {Berlin},
YEAR = {1979},
PAGES = {259},
MRCLASS = {03G20 (94C10)},
MRNUMBER = {MR543839 (81f:03075)},
MRREVIEWER = {V. V. Gorlov},
},
@article {Pixley-1971,
AUTHOR = {Pixley, Alden F.},
TITLE = {The ternary discriminator function in universal algebra},
JOURNAL = {Math. Ann.},
FJOURNAL = {Mathematische Annalen},
VOLUME = {191},
YEAR = {1971},
PAGES = {167--180},
ISSN = {0025-5831},
MRCLASS = {08A25},
MRNUMBER = {MR0292738 (45 \#1820)},
MRREVIEWER = {A. Yaqub},
},
@incollection {Pixley-1982,
AUTHOR = {Pixley, A. F.},
TITLE = {A survey of interpolation in universal algebra},
BOOKTITLE = {Universal algebra ({E}sztergom, 1977)},
SERIES = {Colloq. Math. Soc. J\'anos Bolyai},
VOLUME = {29},
PAGES = {583--607},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1982},
MRCLASS = {08A40},
MRNUMBER = {MR660895 (83j:08006)},
MRREVIEWER = {W. Taylor},
},
@article {RS-1984,
AUTHOR = {Rosenberg, I. G. and Szab{\'o}, L.},
TITLE = {Local completeness. {I}},
JOURNAL = {Algebra Universalis},
FJOURNAL = {Algebra Universalis},
VOLUME = {18},
YEAR = {1984},
NUMBER = {3},
PAGES = {308--326},
ISSN = {0002-5240},
CODEN = {AGUVA3},
MRCLASS = {08A40},
MRNUMBER = {MR745495 (85j:08011)},
MRREVIEWER = {E. W. Kiss},
},
@article {Marchenkov-1981,
AUTHOR = {Marchenkov, S. S.},
TITLE = {Cardinality of the set of precomplete classes in certain
classes of functions of countably valued logic},
JOURNAL = {Problemy Kibernet.},
FJOURNAL = {Problemy Kibernetiki},
NUMBER = {38},
YEAR = {1981},
PAGES = {109--116, 272},
MRCLASS = {03B50},
MRNUMBER = {MR640856 (83m:03032)},
MRREVIEWER = {V. B. Alekseev},
},
@article {FN-1973,
AUTHOR = {Freese, Ralph and Nation, J. B.},
TITLE = {Congruence lattices of semilattices},
JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
VOLUME = {49},
YEAR = {1973},
PAGES = {51--58},
ISSN = {0030-8730},
MRCLASS = {06A20},
MRNUMBER = {MR0332590 (48 \#10916)},
MRREVIEWER = {E. T. Schmidt},
},
@article {Hr96,
AUTHOR = {Hrushovski, Ehud},
TITLE = {The {M}ordell-{L}ang conjecture for function fields},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {9},
YEAR = {1996},
NUMBER = {3},
PAGES = {667--690},
ISSN = {0894-0347},
MRCLASS = {11U09 (03C60 11G10 14G99)},
MRNUMBER = {MR1333294 (97h:11154)},
MRREVIEWER = {Anand Pillay},
DOI = {10.1090/S0894-0347-96-00202-0},
URL = {http://dx.doi.org/10.1090/S0894-0347-96-00202-0},
}