• Title of article

    Realcompact subspaces of size ω1

  • Author/Authors

    Swardson، نويسنده , , Mary Anne، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2000
  • Pages
    6
  • From page
    85
  • To page
    90
  • Abstract
    We show that every uncountable compact space has a realcompact subspace of size ω1, that if there are no S-spaces, then every uncountable Tychonoff space has a realcompact subspace of size ω1 and that Ostazewskiʹs space has no uncountable realcompact subspace.
  • Keywords
    Realcompact , Right separated , Ostazewskiיs space , S-space
  • Journal title
    Topology and its Applications
  • Serial Year
    2000
  • Journal title
    Topology and its Applications
  • Record number

    1579516