The C1 generic diffeomorphism has trivial centralizer
Dynamical Systems
2008-12-18 v1
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.
Keywords
Cite
@article{arxiv.0804.1416,
title = {The C1 generic diffeomorphism has trivial centralizer},
author = {Christian Bonatti and Sylvain Crovisier and Amie Wilkinson},
journal= {arXiv preprint arXiv:0804.1416},
year = {2008}
}