• Title of article

    On the cardinality of power homogeneous compacta

  • Author/Authors

    van Mill، نويسنده , , Jan، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2005
  • Pages
    8
  • From page
    421
  • To page
    428
  • Abstract
    We prove that if X is a power homogeneous compact space then |X|⩽2c(X)·πχ(X). This generalizes similar results of Arhangelʹskiı̆, van Douwen and Ismail. We apply this result to get new estimates for the cardinality of (power) homogeneous compacta satisfying some special conditions.
  • Keywords
    Homogeneous space , ?-character , Cellularity
  • Journal title
    Topology and its Applications
  • Serial Year
    2005
  • Journal title
    Topology and its Applications
  • Record number

    1580532