Club guessing sequences and filters
Tetsuya Ishiu
Source: J. Symbolic Logic Volume 70, Issue 4 (2005), 1037-1071.
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.
Primary Subjects: 03E35, 03E55
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jsl/1129642114
Digital Object Identifier: doi:10.2178/jsl/1129642114
Mathematical Reviews number (MathSciNet):
MR2194236
Zentralblatt MATH identifier:
1100.03036
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