Journal of Symbolic Logic

Winning the pressing down game but not Banach-Mazur

Jakob Kellner, Matti Pauna, and Saharon Shelah

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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).

Article information

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

Dates
First available in Project Euclid: 18 February 2008

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1203350789

Digital Object Identifier
doi:10.2178/jsl/1203350789

Mathematical Reviews number (MathSciNet)
MR2371208

Zentralblatt MATH identifier
1134.03030

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

Citation

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. https://projecteuclid.org/euclid.jsl/1203350789


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