29 citations · 77 across the 27 of their papers we have counts for
6 papers · 2 filters
Partially Expansive Homeomorphisms
Alfonso Artigue
In this article we consider several forms of expansivity. We introduce two new definitions related with topological dimension. We study the topology of local stable sets under cw-e…
A Note on Measure-Expansive Diffeomorphisms
Alfonso Artigue, Dante Carrasco-Olivera
In this note we prove that a homeomorphism is countably-expansive if and only if it is measure-expansive. This result is applied for showing that the -interior of the sets of…
Lipschitz perturbations of expansive systems
Alfonso Artigue
We extend some known results from smooth dynamical systems to the category of Lipschitz homeomorphisms of compact metric spaces. We consider dynamical properties as robust expansiv…
Kinematic Expansive flows
Alfonso Artigue
In this paper we study kinematic expansive flows on compact metric spaces, surfaces and general manifolds. Different variations of the definition are considered and its relationshi…
Lyapunov functions via Whitney's size functions
Alfonso Artigue
In this paper we present a technique for constructing Lyapunov functions based on Whitney's size functions. Applications to asymptotically stable equilibrium points, isolated sets,…
Finite Sets with Fake Observable Cardinality
Alfonso Artigue
Let be a compact metric space and let denote the cardinality of a set . We prove that if is a homeomorphism and then for all there…