Selection principles and Sierpinski sets

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Abstract

We show that a set of real numbers is a Sierpiński set if, and only if, it satisfies a selection property similar to the familiar Menger property.

Original languageEnglish
Pages (from-to)1153-1162
Number of pages10
JournalActa Mathematica Sinica, English Series
Volume23
Issue number7
DOIs
StatePublished - Jul 2007

Keywords

  • Infinite game
  • L-space
  • Partition relation
  • Selection principle
  • Sierpinski set

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