Structure of dendrites admitting an existence of an arc horseshoe

We say that a dendrite X admits an existence of an arc horseshoe if for any continuous map f of X into itself which has a horseshoe ( A,B ) one can find a natural number n such that n th iteration of f has an arc horseshoe. We investigate the structure of dendrites admitting the existence of an arc...

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Bibliographic Details
Published in:Russian mathematics 2015-08, Vol.59 (8), p.52-61
Main Author: Makhrova, E. N.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:We say that a dendrite X admits an existence of an arc horseshoe if for any continuous map f of X into itself which has a horseshoe ( A,B ) one can find a natural number n such that n th iteration of f has an arc horseshoe. We investigate the structure of dendrites admitting the existence of an arc horseshoe.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X1508006X