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

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

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...

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Bibliographic Details
Main Author: Seyyed Alireza Ahmadi
Format: Article
Language:English
Published: Universitat Politècnica de València 2014-06-01
Series:Applied General Topology
Subjects:
chain recurrent
chain transitive
chain component
inverse limit space.
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/3050
Description
Summary: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.
ISSN:1576-9402
1989-4147

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