On dendrites with the ΩEP-property

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On dendrites with the ΩEP-property

Authors
Publisher
Department of Mathematics, University of Osijek
Keywords
  • Mapping
  • Tree
  • Dendrite
  • Continuum
  • Connected Function
  • Connectivity Function
  • Darboux Function
  • End Points
  • Eventually Periodic Point
  • Periodic Point
  • Recurrent Point

Abstract

A space X has the ΩEP-property if for each self-mapping the set of nonwandering points is contained in the closure of the set of eventually periodic points. Dendrites having this property are investigated. Several of their properties dispersed in the literature are recalled and some new results are presented.

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