Journal of Symbolic Logic

Winning the pressing down game but not Banach-Mazur

Jakob Kellner, Matti Pauna, and Saharon Shelah

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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).

Article information

J. Symbolic Logic, Volume 72, Issue 4 (2007), 1323-1335.

First available in Project Euclid: 18 February 2008

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03E35: Consistency and independence results 03E55: Large cardinals


Kellner, Jakob; Pauna, Matti; Shelah, Saharon. Winning the pressing down game but not Banach-Mazur. J. Symbolic Logic 72 (2007), no. 4, 1323--1335. doi:10.2178/jsl/1203350789.

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