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On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces

Marcin Mazur (2013)

Annales Polonici Mathematici

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.

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