Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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TRANSITIVE SETS WITH DOMINATED SPLITTING

  • Lee, Manseob (Department of Mathematics Mokwon University)
  • Received : 2009.10.23
  • Accepted : 2010.01.27
  • Published : 2010.03.30
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Abstract

Let $\Lambda$ be a transitive set for f. In this paper, we show that if a f-invariant set $\Lambda$ has the $C^{1}$-stably shadowing property, then $\Lambda$ admits a dominated splitting.

Keywords

References

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