Positively n-expansive homeomorphisms and the L-shadowing property

Fuente: arXiv
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Hauptverfasser: Carvalho, Bernardo, Cordeiro, Welington
Format: Preprint
Veröffentlicht: 2017
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author Carvalho, Bernardo
Cordeiro, Welington
author_facet Carvalho, Bernardo
Cordeiro, Welington
contents We discuss further the dynamics of n-expansive homeomorphisms with the shadowing property, started in [7]. The L-shadowing property is defined and the dynamics of n-expansive homeomorphisms with such property is explored. In particular, we prove that positively n-expansive homeomorphisms with the L-shadowing property can only be defined in finite metric spaces.
format Preprint
id arxiv_https___arxiv_org_abs_1707_09357
institution arXiv
publishDate 2017
record_format arxiv
spellingShingle Positively n-expansive homeomorphisms and the L-shadowing property
Carvalho, Bernardo
Cordeiro, Welington
Dynamical Systems
We discuss further the dynamics of n-expansive homeomorphisms with the shadowing property, started in [7]. The L-shadowing property is defined and the dynamics of n-expansive homeomorphisms with such property is explored. In particular, we prove that positively n-expansive homeomorphisms with the L-shadowing property can only be defined in finite metric spaces.
title Positively n-expansive homeomorphisms and the L-shadowing property
topic Dynamical Systems
url https://arxiv.org/abs/1707.09357