• Title of article

    Minimal sets in compact connected subspaces

  • Author/Authors

    Mai، نويسنده , , Jie-Hua، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2011
  • Pages
    5
  • From page
    2216
  • To page
    2220
  • Abstract
    Let X be a topological space, f : X → X be a continuous map, and Y be a compact, connected and closed subset of X. In this paper we show that, if the boundary ∂ X Y contains exactly one point v and f ( v ) ∈ Y , then Y contains a minimal set of f.
  • Keywords
    Continuous map , compactness , connectedness , Uniformly recurrent point , Minimal set , Topological space
  • Journal title
    Topology and its Applications
  • Serial Year
    2011
  • Journal title
    Topology and its Applications
  • Record number

    1583069