Winning the pressing down game but not Banach Mazur
Jakob Kellner, Matti Pauna, Saharon Shelah
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).
Create a lesson
Related papers
The universal measure of nonstochastic objects
Vladimir Vovk
Hyperarithmetic directions can all be exceptional for Marstrand's projection theorem
Noam Greenberg, Daniel Turetsky
Open Problems in Mathematical Logic
George Barmpalias, Su Gao, Jialiang He et al.
An easy proof that there may be no P-points
David Chodounský, Osvaldo Guzmán, Jonathan Verner
Comments on Choiceless Chain Conditions
Constance Bromham, Asaf Karagila
Localic Esakia Duality via Conic Frames
Nesta van der Schaaf