Local density of diffeomorphisms with large centralizers

Details Local density of diffeomorphisms with large centralizers Local density of diffeomorphisms with large centralizers

2007-09-27

arxiv.org/abs/0709.4319v1

Mathematics

Dynamical Systems

Scientific paper

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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