• Title of article

    New metrics on free groups

  • Author/Authors

    Ding، نويسنده , , Longyun and Gao، نويسنده , , Su، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2007
  • Pages
    11
  • From page
    410
  • To page
    420
  • Abstract
    We define some new metrics on free groups and obtain a class of Polish groups by taking appropriate metric completions so that every Polish group is the quotient group of some one in the class. Moreover, we show that the resulting groups can be taken to be Π 3 0 Polishable subgroups of the infinite permutation group S ∞ .
  • Keywords
    free group , Surjectively universal , Graev metric , Polishable subgroup
  • Journal title
    Topology and its Applications
  • Serial Year
    2007
  • Journal title
    Topology and its Applications
  • Record number

    1581114