Resumen de A Note on Topological Average Shadowing Property Via Uniformity

Seyyed Alireza Ahmadi, Xinxing Wu

• We study topological ergodic shadowing, topological d shadowing and topological average shadowing property for a continuous map on a uniform space and show that they are equivalent for a uniformly continuous map with topological shadowing on a compact uniform space. Furthermore, we prove that topological average shadowing property with Lyapunov stability implies topological ergodicity.