Resumen de Strong Chain Transitivity via Uniformity

Seyyed Alireza Ahmadi

• We introduce topological definitions of strong chain transitivity and we prove that topological average shadowing and topological pseudo-orbital specification each imply topological strong chain transitivity. Furthermore, we introduce the notion of the topological Lipschitz property and we show that it is a sufficient condition for the coincidence of the strong chain recurrent set of a dynamical system and its iterations.