The centralizer of a C1 generic diffeomorphism is trivial
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trivialcentralizerannouncementaskedcentralizerscompactconnectedcontain
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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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