Notes on selection principles in topology (I): Paracompactness

Liljana Babinkostova, Ljubiša D.R. Kočinac, Marion Scheepers

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game theory ([6]). Starting from that result we give another such characterization using a selective version of that game, and study a selection principle in the class of locally compact spaces and its relationships with game theory and a Ramseyan partition relation. We also consider a selective version of paracompactness.

Original languageEnglish
Pages (from-to)709-721
Number of pages13
JournalJournal of the Korean Mathematical Society
Volume42
Issue number4
DOIs
StatePublished - Jul 2005

Keywords

  • Game theory
  • Locally compact
  • Moving-off family
  • Paracompact
  • Ramsey theory
  • Selection principles

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