# Sh:939

• Kellner, J., & Shelah, S. (2011). More on the pressing down game. Arch. Math. Logic, 50(3-4), 477–501.
• Abstract:
We compare the pressing down and the Banach Mazur games and show: Consistently relative to a supercompact there is a nowhere precipitous normal ideal I on \aleph_2 such that for every I-positive set A nonempty wins the pressing down game of length \aleph_1 on I starting with A.
• published version (25p)
Bib entry
@article{Sh:939,
author = {Kellner, Jakob and Shelah, Saharon},
title = {{More on the pressing down game}},
journal = {Arch. Math. Logic},
fjournal = {Archive for Mathematical Logic},
volume = {50},
number = {3-4},
year = {2011},
pages = {477--501},
issn = {0933-5846},
mrnumber = {2786767},
mrreviewer = {Radek Honz\'ik},
mrclass = {03E35 (03E55 91A44)},
doi = {10.1007/s00153-011-0227-x},
note = {\href{https://arxiv.org/abs/0905.3913}{arXiv: 0905.3913}},
arxiv_number = {0905.3913}
}