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

• Ahmadi, Seyyed Alireza ^[1]
  1. [1] University of Sistan and Baluchestan

     University of Sistan and Baluchestan

     Irán

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 15, Nº. 2, 2014, págs. 167-174
• Idioma: inglés
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• Resumen

  • 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.