The structure of dendrites with the periodic point property

In this paper we study the structure of dendrites with the periodic point property, i.e., dendrites X such that for any continuous map f : X → X and any subcontinuum Y ⊂ X the condition Y ⊂ f ( Y ) implies that Y contains a periodic point of f .

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Bibliographic Details
Published in:Russian mathematics 2011-11, Vol.55 (11), p.33-37
Main Author: Makhrova, E. N.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:In this paper we study the structure of dendrites with the periodic point property, i.e., dendrites X such that for any continuous map f : X → X and any subcontinuum Y ⊂ X the condition Y ⊂ f ( Y ) implies that Y contains a periodic point of f .
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X11110053