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arXiv · 1801.08783

Dendritations of Surfaces

Alfonso Artigue
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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.

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Alfonso Artigue. 2018-01-26. Dendritations of Surfaces. https://arxiv.org/abs/1801.08783

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