Resumen de On the topology of the chain recurrent set of a dynamical system

Seyyed Alireza Ahmadi

• n this paper we associate a pseudo-metric to a dynamical system on a compact metric space. We show that this pseudo-metric is identically zero if and only if the system is chain transitive. If we associate this pseudo-metric to the identity map, then we can present a  characterization for connected and totally disconnected metric spaces.