PERSISTENT ACTIONS ON COMPACT METRIC SPACES

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Published: Feb 15, 2017
DOI: https://doi.org/10.14403/jcms.2017.30.1.61
Keywords:
topological stability, persistent, expansive, group action
Mathematics Subject Classification (2020):
Primary 37C50, 37C75, 58E40

Main Article Content

Jiweon Ahn
Department of Mathematics, Chungnam National University
Keonhee Lee
Department of Mathematics, Chungnam National University
Seunghee Lee
Development of Mathematical Data-Analytics and Its Applications, National Institute for Mathematical Sciences

Abstract





In this paper, we introduce the notion of persistent actions of finitely generated groups on compact metric spaces and give a necessary condition for a persistent dynamical system to be topologically stable.





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Article Details

Issue
Vol. 30 No. 1 (2017)
Section
Articles