2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/208174Let $f\colon M\to M$ 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 madeDynamical SystemsGeometric Topology37B99; 37D45; 54H20text