Certain games, category, and measure

Slawomir Solecki

Research output: Contribution to journalArticlepeer-review

Abstract

For A ⊂ 2ω and X ⊂ ω consider an infinite game Г(A, X) in which two players I and II choose cn ϵ (0,1). cn is chosen by I if n ϵ X and by II if n ϵ ω\X. I wins if (c0, c1, c2,…) ϵ A. We analyze connections between A and the family of all sets X ⊂ ω for which I has a winning strategy in Г(A, X). Certain similarities and differences appear if one formulates these connections in the language of category and of Lebesgue measure.

Original languageEnglish (US)
Pages (from-to)275-279
Number of pages5
JournalProceedings of the American Mathematical Society
Volume119
Issue number1
DOIs
StatePublished - Sep 1993

Keywords

  • Categor
  • Infinite games
  • Measure

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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