Ahmadi, Seyyed Alireza2014-10-272014-10-272014-10-011576-9402https://riunet.upv.es/handle/10251/43618[EN] In 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.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Chain recurrentChain transitiveChain componentInverse limit space.On the topology of the chain recurrent set of a dynamical systemArtículo2014-10-2710.4995/agt.2014.3050Abierto1989-4147