# The C 1 generic diffeomorphism has trivial centralizer

Christian Bonatti; Sylvain Crovisier; Amie Wilkinson

Publications Mathématiques de l'IHÉS (2009)

- Volume: 109, page 185-244
- ISSN: 0073-8301

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topBonatti, Christian, Crovisier, Sylvain, and Wilkinson, Amie. "The C 1 generic diffeomorphism has trivial centralizer." Publications Mathématiques de l'IHÉS 109 (2009): 185-244. <http://eudml.org/doc/273598>.

@article{Bonatti2009,

abstract = {Answering a question of Smale, we prove that the space of C
1 diffeomorphisms of a compact manifold contains a residual subset of diffeomorphisms whose centralizers are trivial.},

author = {Bonatti, Christian, Crovisier, Sylvain, Wilkinson, Amie},

journal = {Publications Mathématiques de l'IHÉS},

keywords = {diffeomorphism; centralizer; manifold},

language = {eng},

pages = {185-244},

publisher = {Springer-Verlag},

title = {The C 1 generic diffeomorphism has trivial centralizer},

url = {http://eudml.org/doc/273598},

volume = {109},

year = {2009},

}

TY - JOUR

AU - Bonatti, Christian

AU - Crovisier, Sylvain

AU - Wilkinson, Amie

TI - The C 1 generic diffeomorphism has trivial centralizer

JO - Publications Mathématiques de l'IHÉS

PY - 2009

PB - Springer-Verlag

VL - 109

SP - 185

EP - 244

AB - Answering a question of Smale, we prove that the space of C
1 diffeomorphisms of a compact manifold contains a residual subset of diffeomorphisms whose centralizers are trivial.

LA - eng

KW - diffeomorphism; centralizer; manifold

UR - http://eudml.org/doc/273598

ER -

## References

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