• Title of article

    D-spaces

  • Author/Authors

    Fleissner، نويسنده , , William G. and Stanley، نويسنده , , Adrienne M.، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2001
  • Pages
    11
  • From page
    261
  • To page
    271
  • Abstract
    We use U-sticky sets to show that box products of scattered spaces of height 1 are D-spaces and to simplify the proof of van Douwen and Lutzer that a subspace of a linearly ordered space is a D-space iff no closed subset is stationary. Analogously, we show that a subspace of a product of finitely many ordinals is a D-space iff it is metacompact iff no closed subset is stationary. We examine the proof that metric spaces are D-spaces and obtain a new characterization of semistratifiability.
  • Keywords
    Linearly ordered topological space , D-space , box product , Metacompact , Semistratifiable
  • Journal title
    Topology and its Applications
  • Serial Year
    2001
  • Journal title
    Topology and its Applications
  • Record number

    1579753