Splitting stationary sets in Pκλ for λ with small cofinality

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)265-287
Number of pages23
JournalFundamenta Mathematicae
Volume205
Issue number3
DOIs
Publication statusPublished - 2009
Externally publishedYes

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Stationary Set
Subset
Pairwise
Disjoint
Uncountable
Normality

Keywords

  • Pcf-theory
  • Stationary set

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Splitting stationary sets in Pκλ for λ with small cofinality. / Usuba, Toshimichi.

In: Fundamenta Mathematicae, Vol. 205, No. 3, 2009, p. 265-287.

Research output: Contribution to journalArticle

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