Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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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)
  • Received : 2019.06.12
  • Accepted : 2019.10.30
  • Published : 2019.11.15
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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.

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Acknowledgement

supported by research fund of Chungnam National University.

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