충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제35권1호
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  • Pages.85-90
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  • 2022
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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SYMBOLICALLY EXPANSIVE DYNAMICAL SYSTEMS

  • Oh, Jumi (Department of Mathematics, Sungkyunkwan University)
  • 투고 : 2022.01.20
  • 심사 : 2022.02.04
  • 발행 : 2022.02.15
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초록

In this article, we consider the notion of expansiveness on compact metric spaces for symbolically point of view. And we show that a homeomorphism is symbolically countably expansive if and only if it is symbolically measure expansive. Moreover, we prove that a homeomorphism is symbolically N-expansive if and only if it is symbolically measure N-expanding.

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과제정보

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT)(No. 2019R1A2C1002150).

참고문헌

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