Original scientific paper

On dendrites with the ΩEP-property

J. J. Charatonik

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.

Keywords

connected function; connectivity function; continuum; Darboux function; dendrite; end points; eventually periodic point; mapping; periodic point; recurrent point; tree

Hrčak ID:

675

URI

https://hrcak.srce.hr/675

Publication date:

22.12.2004.

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