• Title of article

    Continuity of separately continuous group actions in p-spaces

  • Author/Authors

    Ahmed Ait-Bouziad، نويسنده , , Ahmed، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 1996
  • Pages
    6
  • From page
    119
  • To page
    124
  • Abstract
    Let ƒ:X × Y → Z be a separately continuous mapping, where X is a Baire p-space and Z a completely regular space, and let y ϵ Y be a q-point. We show that 1. s strongly quasicontinuous at each point of X × {y}, f Z is a p-space, then ƒ is subcontinuous at each point of A × {y}, where A is a dense subset of X. Then, we use (i) and (ii) to prove that every separately continuous action of a left topological group, which is a Baire p-space, in a p-space, is a continuous action. In particular, every semitopological group, which is a Baire p-space, has a continuous multiplication.
  • Keywords
    q-space , Semitopological group , Separate continuity , Group action , Subcontinuity , P-space , Strong quasicontinuity
  • Journal title
    Topology and its Applications
  • Serial Year
    1996
  • Journal title
    Topology and its Applications
  • Record number

    1578882