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The centralizer of a C1 generic diffeomorphism is trivial (2007)

Abstract
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.

Publication details
Download http://hal.archives-ouvertes.fr/hal-00150944/en/
Publisher HAL - CCSd - CNRS
Contributors Sylvain Crovisier
Repository CCSd/HAL : e-articles server (based on gBUS) (France)
Keywords Mathematics/Dynamical Systems
Language Englisch