A GAME‐THEORETIC PROOF OF ANALYTIC RAMSEY THEOREM

研究成果: Article査読

2 被引用数 (Scopus)

抄録

We give a simple game‐theoretic proof of Silver's theorem that every analytic set is Ramsey. A set P of subsets of ω is called Ramsey if there exists an infinite set H such that either all infinite subsets of H are in P or all out of P. Our proof clarifies a strong connection between the Ramsey property of partitions and the determinacy of infinite games.

本文言語English
ページ(範囲)301-304
ページ数4
ジャーナルMathematical Logic Quarterly
38
1
DOI
出版ステータスPublished - 1992

ASJC Scopus subject areas

  • Logic

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