A variant of the diamond principle for combinatorial ideals
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- Proc. Amer. Math. Soc. 127 (1999), 847-849 Request permission
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.References
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Additional Information
- Y. Abe
- Affiliation: Department of Mathematics, Kanagawa University, Yokohama 221, Japan
- Email: yabe@cc.kanagawa-u.ac.jp
- Received by editor(s): October 9, 1996
- Received by editor(s) in revised form: June 5, 1997
- Communicated by: Andreas R. Blass
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 847-849
- MSC (1991): Primary 03E05, 03E55
- DOI: https://doi.org/10.1090/S0002-9939-99-04528-1
- MathSciNet review: 1468178