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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


A variant of the diamond principle
for combinatorial ideals

Author: Y. Abe
Journal: Proc. Amer. Math. Soc. 127 (1999), 847-849
MSC (1991): Primary 03E05, 03E55
MathSciNet review: 1468178
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Abstract: We use a variant of the diamond principle to show many ideals on $\kappa$ are not $2^{\kappa}$-saturated if $\kappa$ is large. For instance, the $\Pi^1_1$-indescribable ideal is not $2^{\kappa}$-saturated if $\kappa$ is almost ineffable.

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Additional Information

Y. Abe
Affiliation: Department of Mathematics, Kanagawa University, Yokohama 221, Japan

PII: S 0002-9939(99)04528-1
Keywords: The diamond principle, saturated ideals, ineffability, indescribability
Received by editor(s): October 9, 1996
Received by editor(s) in revised form: June 5, 1997
Communicated by: Andreas R. Blass
Article copyright: © Copyright 1999 American Mathematical Society

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