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December 2007 Winning the pressing down game but not Banach-Mazur
Jakob Kellner, Matti Pauna, Saharon Shelah
J. Symbolic Logic 72(4): 1323-1335 (December 2007). DOI: 10.2178/jsl/1203350789

Abstract

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

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Jakob Kellner. Matti Pauna. Saharon Shelah. "Winning the pressing down game but not Banach-Mazur." J. Symbolic Logic 72 (4) 1323 - 1335, December 2007. https://doi.org/10.2178/jsl/1203350789

Information

Published: December 2007
First available in Project Euclid: 18 February 2008

zbMATH: 1134.03030
MathSciNet: MR2371208
Digital Object Identifier: 10.2178/jsl/1203350789

Subjects:
Primary: 03E35, 03E55

Rights: Copyright © 2007 Association for Symbolic Logic

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Vol.72 • No. 4 • December 2007
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