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http://dx.doi.org/10.14403/jcms.2018.31.1.411

SHADOWABLE POINTS FOR FINITELY GENERATED GROUP ACTIONS

Kim, Sang Jin (Department of Mathematics Chungnam National University)
Lee, Keonhee (Department of Mathematics Chungnam University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.31, no.4, 2018 , pp. 411-420 More about this Journal

Abstract

In this paper we introduce the notion of shadowable points for finitely generated group actions on compact metric spaace and prove that the set of shadowable points is invariant and Borel set and if chain recurrent set contained shadowable point set then it coincide with nonwandering set. Moreover an action $T{\in}Act(G, X)$ has the shadowing property if and only if every point is shadowable.

Keywords

group action; shadowing property; shadowable point;

Citations & Related Records

Reference

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