Trivial Centralizers for Codimension-one Attractors

نویسنده

  • TODD FISHER
چکیده

We show that if Λ is a codimension-one hyperbolic attractor for a Cr diffeomorphism f , where 2 ≤ r ≤ ∞, and f is not Anosov, then there is a neighborhood U of f in Diffr(M) and an open and dense set V of U such that any g ∈ V has a trivial centralizer on the basin of attraction for Λ.

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تاریخ انتشار 2008