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Original Articles
On λ-Dendroids with the ΩEP-Property
Janusz J. Charatonikjjc@matem.unam.mxMathematical InstituteUniversity of Wrocław, Pl. Grunwaldzki 2/4, 50–384 Wrocław, PolandView full profile →
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- Received:
- 06 Jun 2004
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2005.10698488
- Pages:
- 55–66
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. A class of λ-dendroids is presented each member of which has the ΩEP-property for mappings satisfying certain additional conditions. These λ-dendroids are obtained as compactifications of some dendrites without finite sets. Some related problems are posed.
Keywords
References
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