9 citations · 13 across the 7 of their papers we have counts for
7 papers
A combinatorial description of shape theory
Pedro J. Chocano, Manuel A. Morón, Francisco R. Ruiz del Portal
We give a combinatorial description of shape theory using finite topological -spaces (finite partially ordered sets). This description may lead to a sort of computational shap…
Integration in Čech theories and a bound on entropy
Luis Hernández-Corbato, David Jesús Nieves-Rivera, Francisco Romero Ruiz del Portal +1
The evaluation of Alexander-Spanier cochains over formal simplices in a topological space leads to a notion of integration of Alexander-Spanier cohomology classes over Čech homolog…
Shape of compacta as extension of weak homotopy of finite spaces
Pedro J. Chocano, Manuel A. Morón, Francisco R. Ruiz del Portal
We construct a category that classifies compact Hausdorff spaces by their shape and finite topological spaces by their weak homotopy type.
On some topological realizations of groups and homomorphisms
Pedro J. Chocano, Manuel A. Morón, Francisco R. Ruiz del Portal
Let be a homomorphism of groups, we construct a topological space such that its group of homeomorphisms is isomorphic to , its group of homotopy classes…
Fixed point indices of planar continuous maps
Luis Hernandez-Corbato, Francisco R. Ruiz del Portal
We characterize the sequences of fixed point indices of fixed points that are isolated as an invariant set and continuous maps in the plane. In particular,…
Indices of the iterates of -homeomorphisms at Lyapunov stable fixed points
Francisco R. Ruiz del Portal, José Manuel Salazar
Given any positive sequence (\{c_n\}_{n \in {\Bbb N}}), we construct orientation preserving homeomorphisms (f:{\Bbb R}^3 \to {\Bbb R}^3) such that (Fix(f)=Per(f)=\{0\}), (0) is Lya…