Revistes Catalanes amb Accés Obert (RACO)

Continuum-wise expansive diffeomorphisms

K. Sakai

Resum


In this paper, we show that the $C^1$ interior of the set of all continuum-wise expansive diffeomorphisms of a closed manifold coincides with the $C^1$ interior of the set of all expansive diffeomorphisms. And the $C^1$ interior of the set of all continuum-wise fully expansive diffeomorphisms on a surface is investigated. Furthermore, we have necessary and sufficient conditions for a diffeomorphism belonging to these open sets to be Anosov.

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