• Title of article

    Partitions of unity and coverings

  • Author/Authors

    Austin، نويسنده , , Kyle and Dydak، نويسنده , , Jerzy، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2014
  • Pages
    9
  • From page
    74
  • To page
    82
  • Abstract
    The aim of this paper is to prove all well-known metrization theorems using partitions of unity. To accomplish this, we first discuss sufficient and necessary conditions for existence of U -small partitions of unity (partitions of unity subordinated to an open cover U of a topological space X).
  • Keywords
    Coverings , Partitions of unity , Metrization theorems
  • Journal title
    Topology and its Applications
  • Serial Year
    2014
  • Journal title
    Topology and its Applications
  • Record number

    1584285