Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2018; 33(1): 337-344

Online first article September 1, 2017      Printed January 31, 2018

https://doi.org/10.4134/CKMS.c170091

Copyright © The Korean Mathematical Society.

Bowen's decomposition theorem for topologically Anosov homeomorphisms on noncompact and non-metrizable spaces

Ruchi Das, Tarun Das, Sejal Shah

University of Delhi, University of Delhi, The Maharaja Sayajirao University of Baroda

Abstract

We extend Bowen's decomposition theorem to topologically Anosov homeomorphisms on first countable, locally compact, paracompact, Hausdorff spaces which are not necessarily metrizable and not necessarily compact

Keywords: topological shadowing, topological expansivity, chain recurrent set, topological mixing

MSC numbers: Primary 37B20, 54H20

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