On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces
Marcin Mazur
Annales Polonici Mathematici, Tome 107 (2013), p. 29-38 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:280443 
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     year = {2013},
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Marcin Mazur. On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces. Annales Polonici Mathematici, Tome 107 (2013) pp. 29-38. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap109-1-2/