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


  • Seyyed Alireza Ahmadi University of Sistan and Baluchestan




chain recurrent, chain transitive, chain component, inverse limit space.


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.


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How to Cite

S. A. Ahmadi, “On the topology of the chain recurrent set of a dynamical system”, Appl. Gen. Topol., vol. 15, no. 2, pp. 167–174, Jun. 2014.