• Title of article

    Countable closed sets that are not a retract of G#

  • Author/Authors

    Maartje and Buijs-Gladdines، نويسنده , , Helma، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 1995
  • Pages
    4
  • From page
    81
  • To page
    84
  • Abstract
    If G is an Abelian group then G# is G with its maximal totally bounded group topology. We show that if G contains an infinite Boolean subgroup, then G# contains a countable infinite closed subset that is not a retract of G#. This answers a question posed by E.K. van Douwen.
  • Keywords
    Abelian group , Totally bounded group topology , G# , Retract
  • Journal title
    Topology and its Applications
  • Serial Year
    1995
  • Journal title
    Topology and its Applications
  • Record number

    1578759