Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

Request Permissions   Purchase Content 
 

 

Pseudo-Anosov maps and continuum theory


Author: Alfonso Artigue
Journal: Proc. Amer. Math. Soc. 145 (2017), 3047-3056
MSC (2010): Primary 37B45
DOI: https://doi.org/10.1090/proc/13450
Published electronically: January 25, 2017
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In the hyperspace of subcontinua of a compact surface we consider a second order Hausdorff distance. This metric space is compactified in such a way that the stable foliation of a pseudo-Anosov map is naturally identified with a hypercontinuum. We show that negative iterates of a stable arc converge to this hypercontinuum in the considered metric. Some dynamical properties of pseudo-Anosov maps, as topological mixing and the density of stable leaves, are generalized for cw-expansive homeomorphisms of pseudo-Anosov type on compact metric spaces.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 37B45

Retrieve articles in all journals with MSC (2010): 37B45


Additional Information

Alfonso Artigue
Affiliation: Departamento de Matemática y Estadistica del Litoral, Universidad de la República, Gral. Rivera 1350, 50000 Salto, Uruguay
Email: artigue@unorte.edu.uy

DOI: https://doi.org/10.1090/proc/13450
Received by editor(s): August 2, 2015
Received by editor(s) in revised form: June 13, 2016, and August 25, 2016
Published electronically: January 25, 2017
Communicated by: Nimish Shah
Article copyright: © Copyright 2017 American Mathematical Society