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(Non)connectedness and (non)homogeneity

Authors
Journal
Topology and its Applications
0166-8641
Publisher
Elsevier
Identifiers
DOI: 10.1016/j.topol.2014.08.022
Keywords
  • Homogeneous Spaces
  • Local Connectedness
  • Local Contractibility
  • Components Of Path Connectedness

Abstract

Abstract We discuss an approach to a problem posed by A.V. Arhangel'skii and E.K. van Douwen on a possibility to present a compact space as a continuous image of a homogeneous compact space. Then we suggest some ways of proving nonhomogeneity of τ-powers of a space X using points of local connectedness (or local contractibility) and components of path connectedness of X.

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