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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Received June 27, 1994
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Shelah, S. Large normal ideals concentrating on a fixed small cardinality . Arch Math Logic 35, 341–347 (1996). https://doi.org/10.1007/s001530050049
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DOI: https://doi.org/10.1007/s001530050049