Stationary reflection and the club filter

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概要

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• Suppose that κ is a regular uncountable cardinal. It has been known that the club filter on \\mathcal{P}ω1κ can be presaturated. In this paper we extend the result to the case of \\mathcal{P}μκ, where μ is a regular uncountable cardinal ≤κ. This involves suitably weakening the notion of presaturation. A new reflection principle for stationary sets in \\mathcal{P}κλ plays a key role.

• 社団法人 日本数学会の論文
• 2007-10-01

著者

• Shioya Masahiro

  Institute Of Mathematics University Of Tsukuba

関連論文

• Stationary reflection and the club filter

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