Splitting stationary sets in Pκλ for λ with small cofinality

Toshimichi Usuba*

*この研究の対応する著者

研究成果: Article査読

6 被引用数 (Scopus)

抄録

For a regular uncountable cardinal κ and a cardinal λ with cf (λ) < κ < λ, we investigate the consistency strength of the existence of a stationary set in P κλ which cannot be split into λ+ many pairwise disjoint stationary subsets. To do this, we introduce a new notion for ideals, which is a variation of normality of ideals. We also prove that there is a stationary set S in Pκλ such that every stationary subset of S can be split into λ+ many pairwise disjoint stationary subsets.

本文言語English
ページ(範囲)265-287
ページ数23
ジャーナルFundamenta Mathematicae
205
3
DOI
出版ステータスPublished - 2009
外部発表はい

ASJC Scopus subject areas

  • 代数と数論

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