Combinatorics of open covers IV: Subspaces of the Alexandroff double of the unit interval

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Abstract

We study topological games motivated by selection procedures for families of open sets. We establish a connection to strong measure zero sets, and answer a question of Tkachuk (1995).

Original languageEnglish
Pages (from-to)63-75
Number of pages13
JournalTopology and its Applications
Volume83
Issue number1
DOIs
StatePublished - 1998

Keywords

  • Borel conjecture
  • Infinite game
  • Partition relation
  • Rothberger property
  • Strong measure zero set
  • Winning strategy
  • ω-cover

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