Mixing properties of maps with uniform shadowing property in uniform spaces

TL;DR

This paper investigates the mixing properties of maps with the uniform shadowing property in uniform spaces, focusing on their topological entropy in noncompact, non-metrizable contexts.

Contribution

It introduces new insights into the mixing behavior and entropy characteristics of such maps within the framework of uniform spaces.

Findings

Topological entropy is characterized for maps with uniform shadowing.

Mixing properties are analyzed in noncompact, non-metrizable spaces.

New relationships between shadowing and entropy are established.

Abstract

In this note we study some properties of topological entropy for noncompact non-metrizable spaces.