The centralizer of a C1 generic diffeomorphism is trivial

Details The centralizer of a C1 generic diffeomorphism is trivial The centralizer of a C1 generic diffeomorphism is trivial

2007-05-02

arxiv.org/abs/0705.0225v2

Mathematics

Dynamical Systems

Scientific paper

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.

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