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

Marcin Mazur. "On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces." Annales Polonici Mathematici 109.1 (2013): 29-38. <http://eudml.org/doc/280443>.

@article{MarcinMazur2013,
abstract = {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.},
author = {Marcin Mazur},
journal = {Annales Polonici Mathematici},
keywords = {dynamical system; shadowing; expansivity; Smale space; topological hyperbolicity; (metric) cone-field; (cone-hyperbolic) graph-directed iterated function system},
language = {eng},
number = {1},
pages = {29-38},
title = {On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces},
url = {http://eudml.org/doc/280443},
volume = {109},
year = {2013},
}

TY - JOUR
AU - Marcin Mazur
TI - On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces
JO - Annales Polonici Mathematici
PY - 2013
VL - 109
IS - 1
SP - 29
EP - 38
AB - 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.
LA - eng
KW - dynamical system; shadowing; expansivity; Smale space; topological hyperbolicity; (metric) cone-field; (cone-hyperbolic) graph-directed iterated function system
UR - http://eudml.org/doc/280443
ER -