Article ID Journal Published Year Pages File Type
4660689 Topology and its Applications 2009 12 Pages PDF
Abstract

Let be an expansive homeomorphism with dense topologically hyperbolic periodic points, M a closed manifold. We prove that 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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology