• Title of article

    A note on a set-valued extension property

  • Author/Authors

    Michael ، نويسنده , , E.، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2011
  • Pages
    3
  • From page
    1526
  • To page
    1528
  • Abstract
    Principal result: Suppose Y is metrizable. Then: (a) if X is metrizable and A ⊂ X is closed, then every continuous g : A → Y extends to an l.s.c. ψ : X → K ( Y ) ; (b) Y satisfies (a) for all paracompact X if and only if Y is completely metrizable.
  • Keywords
    Completely metrizable range , Set-valued extensions , Metrizable domain , Paracompact domain
  • Journal title
    Topology and its Applications
  • Serial Year
    2011
  • Journal title
    Topology and its Applications
  • Record number

    1582941