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Pré-Publication, Document De Travail Année : 2007

The centralizer of a C1 generic diffeomorphism is trivial

Résumé

In this announcement, we describe the solution in the C1 topology to a question asked by S. Smale on the genericity of trivial centralizers: the set of diffeomorphisms of a compact connected manifold with trivial centralizer residual in Diff^1 but does not contain an open and dense subset.

Dates et versions

hal-00150944 , version 1 (01-06-2007)

Identifiants

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Christian Bonatti, Sylvain Crovisier, Amie Wilkinson. The centralizer of a C1 generic diffeomorphism is trivial. 2007. ⟨hal-00150944⟩
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