Dendritations of Surfaces
Dynamical Systems
2018-01-29 v1
Abstract
In this paper we develop a generalization of foliated manifolds in the context of metric spaces. In particular we study dendritations of surfaces that are defined as maximal atlases of compatible upper semicontinuous local decompositions into dendrites. Applications are given in modeling stable and unstable sets of topological dynamical systems. For this purpose new forms of expansivity are defined.
Cite
@article{arxiv.1801.08783,
title = {Dendritations of Surfaces},
author = {Alfonso Artigue},
journal= {arXiv preprint arXiv:1801.08783},
year = {2018}
}