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Large normal ideals concentrating on a fixed small cardinality

Large normal ideals concentrating on a fixed small cardinality The property on the filter in Definition 1, a kind of large cardinal property, suffices for the proof in Liu Shelah [LiSh484] and is proved consistent as required there (see Conclusion 6). A natural property which looks better, not only is not obtained here, but is shown to be false (in Claim 7). On earlier related theorems see Gitik Shelah [GiSh310]. On such games see e.g. [Je], [Sh-b], [Sh-f]. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

Large normal ideals concentrating on a fixed small cardinality

Archive for Mathematical Logic , Volume 35 (6) – Nov 1, 1996

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References (10)

Publisher
Springer Journals
Copyright
Copyright © 1996 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematical Logic and Foundations; Mathematics, general; Algebra
ISSN
0933-5846
eISSN
1432-0665
DOI
10.1007/s001530050049
Publisher site
See Article on Publisher Site

Abstract

The property on the filter in Definition 1, a kind of large cardinal property, suffices for the proof in Liu Shelah [LiSh484] and is proved consistent as required there (see Conclusion 6). A natural property which looks better, not only is not obtained here, but is shown to be false (in Claim 7). On earlier related theorems see Gitik Shelah [GiSh310]. On such games see e.g. [Je], [Sh-b], [Sh-f].

Journal

Archive for Mathematical LogicSpringer Journals

Published: Nov 1, 1996

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