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The cofinality of cardinal invariants related to measure and category

Published online by Cambridge University Press:  12 March 2014

Tomek Bartoszynski ,
Jaime I. Ihoda  and
Saharon Shelah
Tomek Bartoszynski
Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720
Jaime I. Ihoda
Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720
Saharon Shelah
Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem, Israel Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
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Abstract

We 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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 54 , Issue 3 , September 1989 , pp. 719 - 726
Copyright
Copyright © Association for Symbolic Logic 1989

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References

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