Two-cardinal versions of weak compactness: Partitions of pairs

Pierre Matet, Toshimichi Usuba

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We study various partition properties on Pκ(λ). Our main result asserts that if λ<λ<κ=λ<κ, then (p(NShκ,λ<κ))+→(NSSκ,λ+)2, where p:Pκ(λ<κ)→Pκ(λ) is defined by p(x)=x∩λ.

Original languageEnglish
Pages (from-to)1-22
Number of pages22
JournalAnnals of Pure and Applied Logic
Volume163
Issue number1
DOIs
Publication statusPublished - 2012 Jan 1

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Keywords

  • 03E02
  • 03E55
  • Partition relation
  • Pκ(λ)
  • Weakly compact cardinal

ASJC Scopus subject areas

  • Logic

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