Local product structure for expansive homeomorphisms

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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.
19 pages, Some corrections made

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Dynamical Systems, Geometric Topology, 37B99; 37D45; 54H20

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http://salesiana.dossiersoluciones.com/handle/123456789/208174

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.1493
 http://arxiv.org/abs/0805.1493

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arXiv