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Splitting stationary sets in

  • Toshimichi Usuba (a1)
Abstract

Let A be a non-empty set. A set is said to be stationary in if for every f: [A]<ωA there exists x ϵ S such that xA and f“[x]<ωx. In this paper we prove the following: For an uncountable cardinal λ and a stationary set S in , if there is a regular uncountable cardinal κ ≤ λ such that {x ϵ S: xκ ϵ κ} is stationary, then S can be split into κ disjoint stationary subsets.

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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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