Large open covers and a polarized partition relation

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Abstract

We show that a strengthened form of a property of Roth-berger implies that a certain polarized partition relation holds for the ω-covers of a space and that this partition relation implies a strengthened form of a property of Menger.

Original languageEnglish
Pages (from-to)707-714
Number of pages8
JournalQuaestiones Mathematicae
Volume20
Issue number4
DOIs
StatePublished - Dec 1997

Keywords

  • Menger property
  • Polarized partition relation
  • Rothberger property
  • ω-cover

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