Invariants Of Uniform Conjugacy On Uniform Dynamical System

Abstract


 In this paper, we present some important dynamical concepts on uniform space such as the uniform minimal systems, uniform shadowing, and strong uniform shadowing. We explain some definitions and theorems such as definition uniform expansive, weak uniform expansive, uniform generator, and the proof of the theorems for them. We prove that if be a homeomorphism on a compact uniform space then has uniform shadowing if and only if has uniform shadowing, so if has strong uniform shadowing if and only if has strong uniform shadowing. We also show that and be two uniform homeomorphisms on compact uniform spaces and , if is a uniform conjugacy from to , then . Besides some other results.