Rothberger's property in all finite powers

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Abstract

A space X has the Rothberger property in all finite powers if, and only if, its collection of ω-covers has Ramseyan properties.

Original languageEnglish
Pages (from-to)93-103
Number of pages11
JournalTopology and its Applications
Volume156
Issue number1
DOIs
StatePublished - 1 Nov 2008

Keywords

  • Ellentuck topology
  • Forcing
  • Ramsey theory
  • Rothberger property
  • Selection principle

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