POINTWISE CONTINUOUS SHADOWING AND STABILITY IN GROUP ACTIONS

Abstract

Let Act(G, X) be the set of all continuous actions of In a finitely generated group G on a compact metric space X. 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.

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