The C1 generic diffeomorphism has trivial centralizer

By C. Bonatti, S. Crovisier, Amie Wilkinson. 2008

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Answering a question of Smale, we prove that the space of C1 diffeomorphisms of a compact manifold contains a residual subset of diffeomorphisms whose centralizers are trivial.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2ad8a4a1b378d852edd5bcfbf2452b04bb387d6a