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

Tom 109 / 2013

Marcin Mazur Annales Polonici Mathematici 109 (2013), 29-38 MSC: Primary 37D05; Secondary 37B99. DOI: 10.4064/ap109-1-2

Streszczenie

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.

Autorzy

  • Marcin MazurDepartment of Applied Mathematics
    Institute of Mathematics
    Faculty of Mathematics and Computer Science
    Jagiellonian University
    Łojasiewicza 6
    30-348 Kraków, Poland
    e-mail

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