# 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. arXiv: math/0609655 DOI: 10.2178/jsl/1203350789 MR: 2371208 -
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). - Version 2007-02-17_11 (12p) 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}, mrclass = {03E35 (03E55 91A44)}, doi = {10.2178/jsl/1203350789}, note = {\href{https://arxiv.org/abs/math/0609655}{arXiv: math/0609655}}, arxiv_number = {math/0609655} }