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Continuum-wise expansiveness for generic diffeomorphisms

Continuum-wise expansiveness for generic diffeomorphisms

Let M be a closed smooth manifold and let be a diffeomorphism. C 1-generically, a continuum-wise expansive satisfies Axiom A without cycles. Let and let . There are a C 1 neighborhood of and a residual set such that for any , g is not continuum-wise expansive, where is the …