Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657822 | Topology and its Applications | 2016 | 8 Pages |
Abstract
Let f be an Anosov diffeomorphism of the n -dimensional torus TnTn and τ a continuous self-mapping of TnTn commuting with f. We prove that τ is surjective if and only if the restriction of τ to each homoclinicity class of f is injective.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Tullio Ceccherini-Silberstein, Michel Coornaert,