Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ENTROPY, POSITIVELY CONTINUUM-WISE EXPANSIVENESS AND SHADOWING

  • Lee, Manseob (Department of Mathematics Mokwon University) ;
  • Park, Junmi (Department of Mathematics Chungnam National University)
  • Received : 2015.10.15
  • Accepted : 2015.11.05
  • Published : 2015.11.15
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Abstract

Let (X, d) be a compact metric space, and let $f:X{\rightarrow}X$ be a continuous map. We consider that if a positively continuum-wise expansiveness continuous map f has the positively shadowing property in the nonwandering set, then the topological entropy is positive.

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References

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