• Title of article

    Differentiable maps having hyperbolic sets

  • Author/Authors

    Aoki، نويسنده , , Nobuom and Moriyasu، نويسنده , , Kazumine and Oka، نويسنده , , Masatoshi، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 1998
  • Pages
    34
  • From page
    15
  • To page
    48
  • Abstract
    We show that the set of all Cr-differentiable maps satisfying both Axiom A and the strong transversality is open with respect to the Cr-topology (r ⩾ 1). This was proved by Newhouse and Palis for the class of Cr-diffeomorphisms. However, it also is obtained from the structural stability theorem for Cr-diffeomorphisms by Robbin and Robinson.
  • Keywords
    Differentiable map , Axiom A , Strong transversality
  • Journal title
    Topology and its Applications
  • Serial Year
    1998
  • Journal title
    Topology and its Applications
  • Record number

    1575761