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The C1 generic diffeomorphism has trivial centralizer (2008)

Abstract
Answering a question of Smale, we prove that the space of C1 diffeomorphisms of a compact manifold contains a residual subset of diffeomorphisms whose centralizers are trivial.

Publication details
Download http://hal.archives-ouvertes.fr/hal-00271388/en/
Publisher HAL - CCSD
Repository INRIA a CCSD electronic archive server based on P.A.O.L (France)
Keywords Mathematics/Dynamical Systems
Language English
Relation http://hal.archives-ouvertes.fr/docs/00/27/13/88/PDF/conjecture0402.pdf