29 citations · 77 across the 27 of their papers we have counts for
7 papers · 2 filters
An expansive homeomorphism of a 3-manifold with a local stable set that is not locally connected
Alfonso Artigue
In this article we construct an expansive homeomorphism of a compact three-dimensional manifold with a fixed point whose local stable set is not locally connected. This homeomorphi…
Dendritations of Surfaces
Alfonso Artigue
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 atlase…
Self-Similar Hyperbolicity
Alfonso Artigue
In this paper we consider expansive homeomorphisms of compact spaces with a hyperbolic metric presenting a self-similar behavior on stable and unstable sets. Several application ar…
Polynomial Entropy and Expansivity
Alfonso Artigue, Dante Carrasco-Olivera, Ignacio Monteverde
In this paper we study the polynomial entropy of homeomorphism on compact metric space. We construct a homeomorphism on a compact metric space with vanishing polynomial entropy tha…
Rescaled expansivity and separating flows
Alfonso Artigue
In this article we give sufficient conditions for Komuro expansivity to imply the rescaled expansivity recently introduced by Wen and Wen. Also, we show that a flow on a compact me…
Singular Cw-Expansive Flows
Alfonso Artigue
We study continuum-wise expansive flows with fixed points on metric spaces and low dimensional manifolds. We give sufficient conditions for a surface flow to be singular cw-expansi…