• Corpus ID: 118576112

Stable accessibility is C1 dense

@inproceedings{Dolgopyat2001StableAI,
  title={Stable accessibility is C1 dense},
  author={Dmitry Dolgopyat and Amie Wilkinson},
  year={2001}
}
— We prove that in the space of ail Cr (r ^ 1) partially hyperbolic diffeomorphisms, there is a C1 open and dense set of accessible diffeomorphisms. This settles the C1 case of a conjecture of Pugh and Shub. The same resuit holds in the space of volume preserving or symplectic partially hyperbolic diffeomorphisms. Combining this theorem with results in [Br], [Ar] and [PugSh3], we obtain several corollaries. The first states that in the space of volume preserving or symplectic partially… 
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