Zapping small filters
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- by Claude Laflamme PDF
- Proc. Amer. Math. Soc. 114 (1992), 535-544 Request permission
Abstract:
We show two methods for diagonalizing filters of the form ${F_\sigma }$, first without adding an unbounded real, the other while preserving $P$-points; the interest lies in an attempt at destroying maximal almost disjoint families with least damage.References
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S. Shelah, Vive la différence, no. 326, October 1990.
- Andreas Blass and Saharon Shelah, 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 (1987), no. 3, 213–243. MR 879489, DOI 10.1016/0168-0072(87)90082-0
- Kenneth Kunen, Set theory, Studies in Logic and the Foundations of Mathematics, vol. 102, North-Holland Publishing Co., Amsterdam-New York, 1980. An introduction to independence proofs. MR 597342
- Claude Laflamme, Forcing with filters and complete combinatorics, Ann. Pure Appl. Logic 42 (1989), no. 2, 125–163. MR 996504, DOI 10.1016/0168-0072(89)90052-3
- Michel Talagrand, Compacts de fonctions mesurables et filtres non mesurables, Studia Math. 67 (1980), no. 1, 13–43 (French). MR 579439, DOI 10.4064/sm-67-1-13-43
- Jerry E. Vaughan, Small uncountable cardinals and topology, Open problems in topology, North-Holland, Amsterdam, 1990, pp. 195–218. With an appendix by S. Shelah. MR 1078647
Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 535-544
- MSC: Primary 03E35; Secondary 03E05, 04A20
- DOI: https://doi.org/10.1090/S0002-9939-1992-1068126-5
- MathSciNet review: 1068126