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Robust entropy expansiveness implies generic domination

Robust entropy expansiveness implies generic domination

Let f : M → M be a Cr-diffeomorphism, r ⩾ 1, defined on a compact boundaryless d-dimensional manifold M, d ⩾ 2, and let H(p) be the homoclinic class associated with the hyperbolic periodic point p. We prove that if there exists a C1 neighbourhood of f such that, …