Resumen de Topological Average Shadowing Property on Uniform Spaces

Farzaneh Pirfalak, Seyyed Alireza Ahmadi, Nader Kouhestani, Xinxing Wu

• We introduce topological definition of average shadowing property. We prove that topological average shadowing property implies topological chain transitivity. In particular it is proved that for a dynamical system with dense minimal points, the topological average shadowing property implies topological strong ergodicity.