Local density of diffeomorphisms with large centralizers
classification
🧮 math.DS
keywords
diffeomorphismssubsetcentralizercentralizerscompactconstructdensedensity
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Given any compact manifold M, we construct a non-empty open subset O of the space of C^1-diffeomorphisms of M and a dense subset D of O such that the centralizer of every diffeomorphism in D is uncountable, hence non-trivial.
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