The Topology of Hyperbolic Attractors on Compact Surfaces

نویسنده

  • Todd Fisher
چکیده

Suppose M is a compact surface and Λ ⊂ M is a nontrivial mixing hyperbolic attractor for some f ∈ Diff(M). We show that if Λ is a hyperbolic set for some g ∈ Diff(M), then Λ is a nontrivial mixing hyperbolic attractor or repeller for g.

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تاریخ انتشار 2006