Local product structure for expansive homeomorphisms

Simple item page
dc.creatorArtigue, Alfonso
dc.creatorBrum, Joaquin
dc.creatorPotrie, Rafael
dc.date2008-05-10
dc.date2008-11-27
dc.date.accessioned2026-07-07T12:04:42Z
dc.date.available2026-07-07T12:04:42Z
dc.descriptionLet $f\colon M\to M$ 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.
dc.description19 pages, Some corrections made
dc.identifierhttps://arxiv.org/abs/0805.1493
dc.identifierhttp://arxiv.org/abs/0805.1493
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208174
dc.subjectDynamical Systems
dc.subjectGeometric Topology
dc.subject37B99; 37D45; 54H20
dc.titleLocal product structure for expansive homeomorphisms
dc.typetext

Files

Collections

arXiv