### More on the pressing down game

by Kellner and Shelah. [KrSh:939]

Archive Math Logic, 2011

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 .

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