Jakob Kellner, Matti Pauna, Saharon Shelah
Published 2006-09-25, updated 2007-02-17Version 2
Let $S$ be the set of those $\alpha\in\omega_2$ that have cofinality $\omega_1$. It is consistent relative to a measurable that the nonempty player wins the pressing down game of length $\omega_1$, but not the Banach Mazur game of length $\omega+1$ (both games starting with $S$).
Comments: New version: some improvements in presentation, references, history; main theorem slightly strengthened; some typos removed
Journal: J. Symbolic Logic 72 (2007), No. 4, 1323--1335
More on the pressing down game
On the cofinality of the least $λ$-strongly compact cardinal
I[omega_2] can be the nonstationary ideal on Cof(omega_1)
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