The cofinality of cardinal invariants related to measure and category-Reference-Cited by-同舟云学术

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The cofinality of cardinal invariants related to measure and category

Published:1989-09 Issue:3 Volume:54 Page:719-726
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Bartoszynski Tomek,Ihoda Jaime I.,Shelah Saharon

Abstract

AbstractWe prove that the following are consistent with ZFC:1. 2ω = ℵω1 + #x039A;c = ℵω1 + ΚΒ = ΚU = ω2 (for measure and category simultaneously).2. .This concludes the discussion about the cofinality of Κc.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference5 articles.

1. Additivity of measure implies dominating reals

2. Combinatorial aspects of measure and category

3. Additivity of Measure Implies Additivity of Category

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some remarks on category of the real line;Archive for Mathematical Logic;1999-04-01

2. ON THE COVERING AND THE ADDITIVITY NUMBER OF THE REAL LINE;P AM MATH SOC;1995

3. On the covering and the additivity number of the real line;Proceedings of the American Mathematical Society;1995

4. Adding dominating reals with the random algebra;Proceedings of the American Mathematical Society;1993

5. Set Theory of Reals: Measure and Category;Mathematical Sciences Research Institute Publications;1992

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