C-robust Transitivity for Surfaces with Boundary
نویسندگان
چکیده
We prove that C-robustly transitive diffeomorphisms on surfaces with boundary do not exist, and we exhibit a class of diffeomorphisms of surfaces with boundary which are C−robustly transitive, with k ≥ 2. This class of diffeomorphisms are examples where a version of Palis’ conjecture on surfaces with boundary, about homoclinic tangencies and uniform hyperbolicity, does not hold in the C−topology. This follows showing that blowup of pseudo-Anosov diffeomorphisms on surfaces without boundary, become C−robustly topologically mixing diffeomorphisms on a surfaces with boundary.
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