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arXiv math/0609655math.LO
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赢得了压制比赛,但不是巴拿赫马祖尔

Winning the pressing down game but not Banach Mazur

Jakob Kellner, Matti Pauna, Saharon Shelah

摘要:

令$S$为具有共尾性$ω_1$的那些$α\inω_2$的集合。相对于一个可度量,非空参与人赢得长度为$ω_1$的下压博弈,但不赢得长度为$ω+1$的巴拿赫马祖博弈(两个博弈都以$S$开始),这是一致的。

英文摘要:

Let $S$ be the set of those $α\inω_2$ that have cofinality $ω_1$. It is consistent relative to a measurable that the nonempty player wins the pressing down game of length $ω_1$, but not the Banach Mazur game of length $ω+1$ (both games starting with $S$).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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