Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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SYMBOLICALLY EXPANSIVE DYNAMICAL SYSTEMS

  • Oh, Jumi (Department of Mathematics, Sungkyunkwan University)
  • Received : 2022.01.20
  • Accepted : 2022.02.04
  • Published : 2022.02.15
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Abstract

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.

Keywords

Acknowledgement

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

References

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