The C1 generic diffeomorphism has trivial centralizer

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-00271388
Contributor : Sylvain Crovisier <>
Submitted on : Tuesday, April 8, 2008 - 9:47:49 PM
Last modification on : Wednesday, February 6, 2019 - 1:26:13 AM
Long-term archiving on : Friday, May 21, 2010 - 1:32:26 AM

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  • HAL Id : hal-00271388, version 1
  • ARXIV : 0804.1416

Citation

Christian Bonatti, Sylvain Crovisier, Amie Wilkinson. The C1 generic diffeomorphism has trivial centralizer. 2008. ⟨hal-00271388⟩

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