Local product structure for expansive homeomorphisms

Details Local product structure for expansive homeomorphisms Local product structure for expansive homeomorphisms

2008-05-10

arxiv.org/abs/0805.1493v2

Mathematics

Dynamical Systems

19 pages, Some corrections made

Scientific paper

Let $f\colon M\to M$ be an expansive homeomorphism with dense topologically hyperbolic periodic points, $M$ a compact manifold. Then there is a local product structure in an open and dense subset of $M$. Moreover, if some topologically hyperbolic periodic point has codimension one, then this local product structure is uniform. In particular, we conclude that the homeomorphism is conjugated to a linear Anosov diffeomorphism of a torus.

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