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Winning the pressing down game but not Banach-Mazur
Published online by Cambridge University Press: 12 March 2014
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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- Copyright © Association for Symbolic Logic 2007
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