# Sh:896

• Kellner, J., Pauna, M., & Shelah, S. (2007). Winning the pressing down game but not Banach-Mazur. J. Symbolic Logic, 72(4), 1323–1335.
• Abstract:
Let S be the set of those \alpha\in\omega_2 that have cofinality \omega_1. It is consistent relative to a measurable that player II (the nonempty player) wins the pressing down game of length \omega_1, but not the Banach Mazur game of length \omega+1 (both starting with S).
• published version (14p)
Bib entry
@article{Sh:896,
author = {Kellner, Jakob and Pauna, Matti and Shelah, Saharon},
title = {{Winning the pressing down game but not Banach-Mazur}},
journal = {J. Symbolic Logic},
fjournal = {The Journal of Symbolic Logic},
volume = {72},
number = {4},
year = {2007},
pages = {1323--1335},
issn = {0022-4812},
mrnumber = {2371208},
mrreviewer = {Pierre Matet},
mrclass = {03E35 (03E55 91A44)},
doi = {10.2178/jsl/1203350789},
note = {\href{https://arxiv.org/abs/math/0609655}{arXiv: math/0609655}},
arxiv_number = {math/0609655}
}