Article ID Journal Published Year Pages File Type
4659510 Topology and its Applications 2012 4 Pages PDF
Abstract

We prove that an Axiom A vector field on an orientable closed 3-manifold not homeomorphic to S3 for which every transverse torus bounds a solid torus either is transitive or has a sink or a source. This result is false without these hypotheses.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology