Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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VARIOUS SHADOWING PROPERTIES FOR INVERSE LIMIT SYSTEMS

  • Lee, Manseob (Department of Mathematics Mokwon University)
  • Received : 2016.09.09
  • Accepted : 2016.10.13
  • Published : 2016.11.15
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Abstract

Let $f:X{\rightarrow}X$ be a continuous surjection of a compact metric space and let ($X_f,{\tilde{f}}$) be the inverse limit of a continuous surjection f on X. We show that for a continuous surjective map f, if f has the asymptotic average, the average shadowing, the ergodic shadowing property then ${\tilde{f}}$ is topologically transitive.

Keywords

References

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Cited by

  1. SOME SHADOWING PROPERTIES OF THE SHIFTS ON THE INVERSE LIMIT SPACES vol.31, pp.4, 2018, https://doi.org/10.14403/jcms.2018.31.1.461