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

Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)

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3050-9595-1-PB.pdf (158.57 KB)

Fecha

2014-10-01

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https://riunet.upv.es/handle/10251/43618

Cita bibliográfica

Ahmadi, SA. (2014). On the topology of the chain recurrent set of a dynamical system. Applied General Topology. 15(2):167-174. https://doi.org/10.4995/agt.2014.3050

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Resumen

[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.

Palabras clave

Chain recurrent, Chain transitive, Chain component, Inverse limit space.

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2014.3050

Versión del editor

https://doi.org/10.4995/agt.2014.3050

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Applied General Topology - Vol 15, No 2 (2014)