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December 2005 Club guessing sequences and filters
Tetsuya Ishiu
J. Symbolic Logic 70(4): 1037-1071 (December 2005). DOI: 10.2178/jsl/1129642114

Abstract

We investigate club guessing sequences and filters. We prove that assuming V=L, there exists a strong club guessing sequence on μ if and only if μ is not ineffable for every uncountable regular cardinal μ. We also prove that for every uncountable regular cardinal μ, relative to the existence of a Woodin cardinal above μ, it is consistent that every tail club guessing ideal on μ is precipitous.

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Tetsuya Ishiu. "Club guessing sequences and filters." J. Symbolic Logic 70 (4) 1037 - 1071, December 2005. https://doi.org/10.2178/jsl/1129642114

Information

Published: December 2005
First available in Project Euclid: 18 October 2005

zbMATH: 1100.03036
MathSciNet: MR2194236
Digital Object Identifier: 10.2178/jsl/1129642114

Subjects:
Primary: 03E35 , 03E55

Rights: Copyright © 2005 Association for Symbolic Logic

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Vol.70 • No. 4 • December 2005
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