The C1 generic diffeomorphism has trivial centralizer
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- Bonatti, C., Crovisier, S. & Wilkinson, A. Publ.math.IHES (2009) 109: 185. doi:10.1007/s10240-009-0021-z
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.