3 citations · 8 across the 9 of their papers we have counts for
12 papers
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.
Commutators and commutator subgroups of the Riordan group
Ana Luzón, Manuel A. Morón, Luis Felipe Prieto-Martínez
We calculate the derived series of the Riordan group. To do that, we study a nested sequence of its subgroups, herein denoted by . By means of this sequence, we first…
Computational approximations of compact metric spaces
Pedro J. Chocano, Manuel A. Morón, Francisco R. Ruiz del Portal
Given a compact metric space , we associate to it an inverse sequence of finite topological spaces. The inverse limit of this inverse sequence contains a homeomorphic copy…
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.
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…
Coincidence theorems for finite topological spaces
Pedro J. Chocano, Manuel A. Morón, Francisco R. Ruiz del Portal
We adapt the definition of the Vietoris map to the framework of finite topological spaces and we prove some coincidence theorems. From them, we deduce a Lefschetz fixed point theor…