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)

@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}
}