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arXiv · 1709.00633

Openness for Anosov families

Jeovanny de Jesus Muentes Acevedo
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Abstract

Anosov families were introduced by A. Fisher and P. Arnoux motivated by generalizing the notion of Anosov diffeomorphism defined on a compact Riemannian manifold. Roughly, an Anosov family is a two-sided sequence of diffeomorphisms (or non-stationary dynamical system) with similar behavior to an Anosov diffeomorphisms. We show that the set consisting of Anosov families is an open subset of the set consisting of two-sided sequences of diffeomorphisms, which is endowed with the strong topology (or Whitney topology).

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Jeovanny de Jesus Muentes Acevedo. 2017-11-21. Openness for Anosov families. https://arxiv.org/abs/1709.00633

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