Geodesic
On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces
Marcin Mazur1
1 Department of Applied Mathematics Institute of Mathematics Faculty of Mathematics and Computer Science Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 109 (2013) no. 1, pp. 29-38

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap109-1-2
Keywords: necessary sufficient conditions topological hyperbolicity homeomorphism metric space restricted given compact invariant set these conditions related existence appropriate finite covering set corresponding cone hyperbolic graph directed iterated function system

Marcin Mazur 1

1 Department of Applied Mathematics Institute of Mathematics Faculty of Mathematics and Computer Science Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
@article{10_4064_ap109_1_2,
     author = {Marcin Mazur},
     title = {On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces},
     journal = {Annales Polonici Mathematici},
     pages = {29--38},
     publisher = {mathdoc},
     volume = {109},
     number = {1},
     year = {2013},
     doi = {10.4064/ap109-1-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap109-1-2/}
}
TY  - JOUR
AU  - Marcin Mazur
TI  - On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces
JO  - Annales Polonici Mathematici
PY  - 2013
SP  - 29
EP  - 38
VL  - 109
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap109-1-2/
DO  - 10.4064/ap109-1-2
LA  - en
ID  - 10_4064_ap109_1_2
ER  - 
%0 Journal Article
%A Marcin Mazur
%T On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces
%J Annales Polonici Mathematici
%D 2013
%P 29-38
%V 109
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap109-1-2/
%R 10.4064/ap109-1-2
%G en
%F 10_4064_ap109_1_2
Marcin Mazur. On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces. Annales Polonici Mathematici, Tome 109 (2013) no. 1, pp. 29-38. doi: 10.4064/ap109-1-2

Cité par Sources :