The C 1 generic diffeomorphism has trivial centralizer
Christian Bonatti, Sylvain Crovisier, Amie Wilkinson (2009)
Publications Mathématiques de l'IHÉS
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Answering a question of Smale, we prove that the space of C 1 diffeomorphisms of a compact manifold contains a residual subset of diffeomorphisms whose centralizers are trivial.