Total paracompactness of real go-spaces

Zoltan Balogh, Harold Bennett

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

A topological space is said to be totally paracompact (resp. totally metacompact) if every open base of it has a locally finite (resp. pointfinite) subcover. In this paper we characterize all totally paracompact GOspaces constructed on the real line. It turns out that in the class of GO-spaces on the real line, total paracompactness and total metacompactness are equivalent. Another consequence of our characterization is that totally metacompact GO-spaces on the real line are metrizable. Questions and partial results are given concerning total paracompactness in subspaces of real GO-spaces.

Original languageEnglish
Pages (from-to)753-760
Number of pages8
JournalProceedings of the American Mathematical Society
Volume101
Issue number4
DOIs
StatePublished - Dec 1987

Keywords

  • Dense and codense example
  • Metrizable
  • Real go-space
  • Totally metacompact
  • Totally paracompact

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