• Title of article

    Topologies on the direct sum of topological Abelian groups

  • Author/Authors

    Chasco، نويسنده , , M.J. and Dom?́nguez، نويسنده , , X.، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2003
  • Pages
    15
  • From page
    209
  • To page
    223
  • Abstract
    We prove that the asterisk topologies on the direct sum of topological Abelian groups, used by Kaplan and Banaszczyk in duality theory, are different. However, in the category of locally quasi-convex groups they do not differ, and coincide with the coproduct topology.
  • Keywords
    Topological Abelian group , Direct sum , Asterisk topology , Locally quasi-convex group , Coproduct topology
  • Journal title
    Topology and its Applications
  • Serial Year
    2003
  • Journal title
    Topology and its Applications
  • Record number

    1580437