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Dendritations of surfaces

Published online by Cambridge University Press:  03 April 2017

ALFONSO ARTIGUE Open the ORCID record for ALFONSO ARTIGUE [Opens in a new window]
ALFONSO ARTIGUE*
Affiliation:
Departamento de Matemática y Estadística del Litoral, Universidad de la República, Gral. Rivera 1350, Salto-Uruguay, Uruguay email artigue@unorte.edu.uy
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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.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 38 , Issue 8 , December 2018 , pp. 2860 - 2912
Copyright
© Cambridge University Press, 2017 

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