Pressing On

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چکیده

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We investigate the pressing down game and its relation to the Banach Mazur game. In particular we show: Consistently relative to a supercompact, there is a nowhere precipitous normal ideal I on א2 such that player nonempty wins the pressing down game of length א1 on I even if player empty starts. For the proof, we construct a forcing notion to force the following: There is normal, nowhere preci...

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ژورنال

عنوان ژورنال: The Iowa Review

سال: 2015

ISSN: 0021-065X,2330-0361

DOI: 10.17077/0021-065x.7551