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arXiv · 1611.09493

Topological Entropy, Entropy points and shadowing

Seyyed Alireza Ahmadi
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Abstract

In this note we study some properties of topological entropy for non-compact non-metrizable spaces. We prove that if a uniformly continuous self-map $f$ of a uniform space has topological shadowing property then the map $f$ has positive uniform entropy, which extends the similar known result for homeomorphisms on compact metric spaces having shadowing property.

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Seyyed Alireza Ahmadi. 2016-11-29. Topological Entropy, Entropy points and shadowing. https://arxiv.org/abs/1611.09493

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