• Title of article

    Minimal KC spaces are compact

  • Author/Authors

    Bella، نويسنده , , Angelo and Costantini، نويسنده , , Camillo، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2008
  • Pages
    4
  • From page
    1426
  • To page
    1429
  • Abstract
    We show that every KC space ( X , τ ) , such that τ is minimal among the KC topologies on X, must be compact (not necessarily T2). This solves a long-standing question, first raised by R. Larson in 1973.
  • Keywords
    KC space , Uniform ultrafilter , Discrete subset , Minimal KC space , Cluster point , Compact space (not necessarily T2) , Coarser topology
  • Journal title
    Topology and its Applications
  • Serial Year
    2008
  • Journal title
    Topology and its Applications
  • Record number

    1581712