On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces
Volume 109 / 2013
Annales Polonici Mathematici 109 (2013), 29-38
MSC: Primary 37D05; Secondary 37B99.
DOI: 10.4064/ap109-1-2
Abstract
We give necessary and sufficient conditions for topological hyperbolicity of a homeomorphism of a metric space, restricted to a given compact invariant set. These conditions are related to the existence of an appropriate finite covering of this set and a corresponding cone-hyperbolic graph-directed iterated function system.
