Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 03E05, 03E55

Retrieve articles in all journals with MSC (1991): 03E05, 03E55


Additional Information

Y. Abe
Affiliation: Department of Mathematics, Kanagawa University, Yokohama 221, Japan
Email: yabe@cc.kanagawa-u.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04528-1
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