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Article Contents

# Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center

• It is shown that stable accessibility property is $C^r$-dense among partially hyperbolic diffeomorphisms with one-dimensional center bundle, for $r \geq 2$, volume preserving or not. This establishes a conjecture by Pugh and Shub for these systems.
Mathematics Subject Classification: Primary: 37D25, Secondary: 37C05.

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