Stationary reflection and the club filter
2007 年 59 巻 4 号 p. 1045-1065
詳細
2007 年 59 巻 4 号 p. 1045-1065
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.
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