Winning the pressing down game but not Banach-Mazur

Jakob Kellner; Matti Pauna; Saharon Shelah

doi:10.2178/jsl/1203350789

Winning the pressing down game but not Banach-Mazur

Jakob Kellner^*, Matti Pauna, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Let S be the set of those α isin; ω₂ that have cofinality ω₁. It is consistent relative to a measurable that the nonempty player wins the pressing down game of length &omeg₁, but not the BanachMazur game of length ω + 1 (both games starting with S).

Original language	English
Pages (from-to)	1323-1335
Number of pages	13
Journal	Journal of Symbolic Logic
Volume	72
Issue number	4
DOIs	https://doi.org/10.2178/jsl/1203350789
State	Published - Dec 2007

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abstract = "Let S be the set of those α isin; ω2 that have cofinality ω1. It is consistent relative to a measurable that the nonempty player wins the pressing down game of length &omeg1, but not the BanachMazur game of length ω + 1 (both games starting with S).",

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AB - Let S be the set of those α isin; ω2 that have cofinality ω1. It is consistent relative to a measurable that the nonempty player wins the pressing down game of length &omeg1, but not the BanachMazur game of length ω + 1 (both games starting with S).

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Winning the pressing down game but not Banach-Mazur

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