• Title of article

    Asymptotic oscillations

  • Author/Authors

    Filali، نويسنده , , M. and Protasov، نويسنده , , I.، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2007
  • Pages
    6
  • From page
    561
  • To page
    566
  • Abstract
    Given a function f : X → R defined on the support of a ballean, we introduce the notion of slow oscillation in direction of a filter on X. We show that there exists a filter on X responsible for the rate of slow oscillation of f at infinity. We apply this result to the Stone–Čech compactifications of discrete groups.
  • Keywords
    Slowly oscillating function , Ballean
  • Journal title
    Topology and its Applications
  • Serial Year
    2007
  • Journal title
    Topology and its Applications
  • Record number

    1581140