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http://dx.doi.org/10.14403/jcms.2019.32.4.509

POINTWISE CONTINUOUS SHADOWING AND STABILITY IN GROUP ACTIONS  

Dong, Meihua (Department of Mathematics Yanbian University)
Jung, Woochul (Department of Mathematics Chungnam National University)
Lee, Keonhee (Department of Mathematics Chungnam National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.32, no.4, 2019 , pp. 509-524 More about this Journal
Abstract
Let Act(G, X) be the set of all continuous actions of a finitely generated group G on a compact metric space X. In this paper, we study the concepts of topologically stable points and continuous shadowable points of a group action T ∈ Act(G, X). We show that if T is expansive then the set of continuous shadowable points is contained in the set of topologically stable points.
Keywords
Continuous shadowing; expansiveness; group action; shadowable point; topological stability;
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Times Cited By KSCI : 1  (Citation Analysis)
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