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
• Abstract:
  A combinatorial principle CECA is formulated and its equivalence with GCH+ certain weakenings of \Box_\lambda for singular \lambda is proved. CECA is used to show that certain “almost point-< \tau” families can be refined to point-< \tau families by removing a small set from each member of the family. This theorem in turn is used to show the consistency of “every first countable T_1-space with a weakly uniform base has a point-countable base.”
• Version 1998-03-05_10 (18p) published version (17p)

@article{Sh:674,
 author = {Balogh, Zoltan Tibor and Davis, Sheldon W. and Just, Winfried and Shelah, Saharon and Szeptycki, Paul J.},
 title = {{Strongly almost disjoint sets and weakly uniform bases}},
 journal = {Trans. Amer. Math. Soc.},
 fjournal = {Transactions of the American Mathematical Society},
 volume = {352},
 number = {11},
 year = {2000},
 pages = {4971--4987},
 issn = {0002-9947},
 mrnumber = {1707497},
 mrclass = {03E05 (03E35 03E75 54D70)},
 doi = {10.1090/S0002-9947-00-02599-X},
 note = {\href{https://arxiv.org/abs/math/9803167}{arXiv: math/9803167}},
 arxiv_number = {math/9803167}
}