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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