Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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CONTINUUM-WISE EXPANSIVE DIFFEOMORPHISMS ON TWO DIMENSIONAL MANIFOLD

  • Manseob Lee (Department of Marketing Big Data and Mathematics Mokwon National University)
  • Received : 2023.04.17
  • Accepted : 2023.05.26
  • Published : 2023.05.30
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Abstract

Let f : M → M be a diffeomorphism of two dimensional manifold M. If f has a homoclinic tangency associated to a hyperbolic periodic point p then there is a diffeomorphism g : M → M with C1 close to f such that g is not continuum-wise expansive.

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References

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