• Title of article

    Monotonically normal topological vector spaces are stratifiable

  • Author/Authors

    Shkarin، نويسنده , , S.A.، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2004
  • Pages
    6
  • From page
    129
  • To page
    134
  • Abstract
    We prove that for any Hausdorff topological vector space E over the field R there exists A⊂E such that E is homeomorphic to a subset of A×R and A×R is homeomorphic to a subset of E. Using this fact we prove that E is monotonically normal if and only if E is stratifiable.
  • Keywords
    Monotonically normal spaces , Stratifiable spaces , Monotonically regular spaces , topological vector spaces
  • Journal title
    Topology and its Applications
  • Serial Year
    2004
  • Journal title
    Topology and its Applications
  • Record number

    1576744