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 |
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ページ(範囲) | 265-287 |
ページ数 | 23 |
ジャーナル | Fundamenta Mathematicae |
巻 | 205 |
号 | 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