14 citations · 30 across the 5 of their papers we have counts for
4 papers · 1 filter
On the triviality of flows in Alexandroff spaces
Pedro J. Chocano, Diego Mondéjar Ruiz, Manuel A. Morón +1
We prove that the unique possible flow in an Alexandroff -space is the trivial one. To motivate this result, we relate Alexandroff spaces to topological hyperspaces.
Parrondo's paradox for homeomorphisms
Armengol Gasull, Luis Hernández-Corbato, Francisco R. Ruiz del Portal
We construct two planar homeomorphisms and for which the origin is a globally asymptotically stable fixed point whereas for and the origin is a glob…
About the homological discrete Conley index of isolated invariant acyclic continua
Luis Hernández-Corbato, Patrice Le Calvez, Francisco R. Ruiz del Portal
This article includes an almost self-contained exposition on the discrete Conley index and its duality. We work with a local homeomorphism of $\mathds{R}^d$ and an invariant and is…
Indices of the iterates of ({\Bbb R}^3)-homeomorphisms at fixed points which are isolated invariant sets
Patrice Le Calvez, Francisco R. Ruiz del Portal, José M. Salazar
Let (U \subset {\mathbb R}^3) be an open set and (f:U \to f(U) \subset {\mathbb R}^3) be a homeomorphism. Let (p \in U) be a fixed point. It is known that, if (\{p\}) is not an iso…