Saturation of the closed unbounded filter on the set of regular cardinals-Reference-Cited by-同舟云学术

Saturation of the closed unbounded filter on the set of regular cardinals

Published:1985 Issue:1 Volume:292 Page:345-356
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Jech Thomas J.,Woodin W. Hugh

Abstract

For any α > κ + \alpha > {\kappa ^ + } , the following are equiconsistent: (a) κ \kappa is measurable of order α \alpha , (b) κ \kappa is α \alpha -Mahlo and the filter C [ Reg ] {\mathbf {C}}[\operatorname {Reg} ] is saturated.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1985-292-01/S0002-9947-1985-0805967-1/S0002-9947-1985-0805967-1.pdf

Reference9 articles.

1. On splitting stationary subsets of large cardinals;Baumgartner, James E.;J. Symbolic Logic,1977

2. Stationary subsets of inaccessible cardinals;Jech, Thomas,1984

3. Some applications of iterated ultrapowers in set theory;Kunen, Kenneth;Ann. Math. Logic,1970

4. Saturated ideals;Kunen, Kenneth;J. Symbolic Logic,1978

5. Boolean extensions and measurable cardinals;Kunen, K.;Ann. Math. Logic,1970

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