Topological Entropy, Entropy points and shadowing
Dynamical Systems
2016-11-30 v1
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 of a uniform space has topological shadowing property then the map has positive uniform entropy, which extends the similar known result for homeomorphisms on compact metric spaces having shadowing property.
Cite
@article{arxiv.1611.09493,
title = {Topological Entropy, Entropy points and shadowing},
author = {Seyyed Alireza Ahmadi},
journal= {arXiv preprint arXiv:1611.09493},
year = {2016}
}