대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제31권2호
  • /
  • Pages.389-394
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  • 2016
  • /
  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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THE LOCAL STAR CONDITION FOR GENERIC TRANSITIVE DIFFEOMORPHISMS

  • Lee, Manseob (Department of Mathematics Mokwon University)
  • 투고 : 2015.03.18
  • 발행 : 2016.04.30
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⟨ 이전 논문 다음 논문 ⟩

초록

Let $f:M{\rightarrow}M$ be a diffeomorphism on a closed $C^{\infty}\;d({\geq}2)$ dimensional manifold M. For $C^1$-generic f, if a diffeomorphism f satisfies the local star condition on a transitive set, then it is hyperbolic.

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참고문헌

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