Large normal ideals concentrating on a fixed small cardinality

Archive for Mathematical Logic 35 (5-6):341-347 (1996)
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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]

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Citations of this work

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Winning the Pressing down Game but Not Banach-Mazur.Jakob Kellner, Matti Pauna & Saharon Shelah - 2007 - Journal of Symbolic Logic 72 (4):1323 - 1335.

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