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

• Autorzy: Marcin Mazur
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37D05: Hyperbolic orbits and sets
• 37B99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 109
• Numer: 1
• Strony: 29-38

Daty

wydano

2013

Twórcy

autor

Marcin Mazur

• Department of Applied Mathematics, Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap109-1-2