• Corpus ID: 118576112

# Stable accessibility is C1 dense

@inproceedings{Dolgopyat2001StableAI,
title={Stable accessibility is C1 dense},
author={Dmitry Dolgopyat and Amie Wilkinson},
year={2001}
}
• Published 2001
• Mathematics
— 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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