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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://hal.archives-ouvertes.fr/hal-00175146/en/
Publisher HAL - CCSD
Repository INRIA a CCSD electronic archive server based on P.A.O.L (France)
Keywords Mathematics/Dynamical Systems, Trivial centralizer, trivial symmetries, Mather invariant
Language English
Relation http://hal.archives-ouvertes.fr/docs/00/17/51/46/PDF/BCVW25092007.pdf