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Pointwise continuous shadowing and stability in group actions
정우철,동미화,이건희 충청수학회 2019 충청수학회지 Vol.32 No.4
'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 $T \in Act(G,X)$. We show that if $T$ is expansive then the set of continuous shadowable points is contained in the set of topologically stable points.