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Local density of diffeomorphisms with large centralizers (2007)

Abstract
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.

Publication details
Download http://arxiv.org/abs/0709.4319
Repository arXiv (United States)
Keywords Mathematics - Dynamical Systems, 37C85, 37C80, 37D45, 37D15, 37E30
Type text