충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제32권4호
  • /
  • Pages.509-524
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  • 2019
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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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)
  • 투고 : 2019.06.12
  • 심사 : 2019.10.30
  • 발행 : 2019.11.15
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초록

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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과제정보

supported by research fund of Chungnam National University.

참고문헌

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