Abstract

The opportunity has been taken to update the wording of the original abstract to improve its clarity.Let M be a closed smooth manifold and let be a diffeomorphism. For a C1 generic diffeomorphism f , if f is continuum-wise expansive then it is Axiom A without cycles. Let and let be a diffeomorphism. There is a C1 neighborhood of and a residual set such that for any , g is not continuum-wise expansive, where is the set of all robustly transitive diffeomorphisms on

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