• Title of article

    Discretely weak P-sets

  • Author/Authors

    Dow، نويسنده , , Alan and Techanie، نويسنده , , Geta، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2009
  • Pages
    6
  • From page
    879
  • To page
    884
  • Abstract
    A discretely weak P-set is a nowhere dense closed set which is disjoint from the closure of any countable discrete subset of its complement. We show that the Stone–Čech remainder N ∗ of the discrete space N of natural numbers cannot be covered by discretely weak P-sets when the continuum hypothesis is assumed.
  • Keywords
    Nowhere dense closed sets , Weak P-set , Discretely weak P-set , Stone–?ech compactification , Continuum hypothesis , Covering
  • Journal title
    Topology and its Applications
  • Serial Year
    2009
  • Journal title
    Topology and its Applications
  • Record number

    1581920