Splitting stationary sets in p(λ)

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Let A be a non-empty set. A set S ⊆ P (A) is said to be stationary in P(A) if for every f: [A]<ω → A there exists x ∈ S such that x ≠ A and f"[x]<ω ⊆ x. In this paper we prove the following: For an uncountable cardinal λ and a stationary set S in P(λ), if there is a regular uncountable cardinal k ≤ λ such that {x ∈ S : x ∩ k ∈ k} is stationary, then S can be split into k disjoint stationary subsets.

Original languageEnglish
Pages (from-to)49-62
Number of pages14
JournalJournal of Symbolic Logic
Volume77
Issue number1
DOIs
Publication statusPublished - 2012 Mar 1
Externally publishedYes

Keywords

  • Pcf-theory
  • Saturated ideal
  • Stationary set

ASJC Scopus subject areas

  • Philosophy
  • Logic

Fingerprint Dive into the research topics of 'Splitting stationary sets in p(λ)'. Together they form a unique fingerprint.

  • Cite this