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Square compactness and the filter extension property

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Authors

  • David Buhagiar
  • Mirna Dzamonja

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Abstract

We show that the consistency strength of κ being 2κ-square compact is at least weak compact and strictly less than indescribable. This is the first known improvement to the upper bound of strong compactness obtained in 1973 by Hajnal and Juhasz.

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Original languageEnglish
JournalFundamenta Mathematicae
Publication statusAccepted/In press - 9 Apr 2020
Peer-reviewedYes

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ID: 180768027

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