3 citations · 7 across the 19 of their papers we have counts for
20 papers
From samples to shape: a finite approach to topological invariants
Pedro J. Chocano
Given a metric space and a compact subspace , we present a method for constructing an inverse sequence of finite topological spaces by sampling points from neighborhoods of…
Semiflows deforming automorphisms groups
Pedro J. Chocano
In this short note, we prove that, for any pair of finite groups and , there exist a finite -space and a semiflow such that $\oper…
On the existence and properties of Alexandroff paratopological groups
Pedro J. Chocano, Tayomara Borsich
We study groups endowed with Alexandroff topologies and show that no non-discrete Alexandroff topology can turn a group into a topological group. This settles negatively the basic…
On continuous homomorphisms from Alexandroff paratopological groups into topological groups
Tayomara Borsich, Pedro J. Chocano
Alexandroff paratopological groups provide a natural setting in which order-theoretic and algebraic properties interact. In this short note we prove obstruction results when consid…
A formula for the Euler characteristic of a poset through the determinant of the order-complement matrix
Pedro J. Chocano, Luis Felipe Prieto-Martínez
Given a finite poset , its zeta matrix encode fundamental incidence-theoretic information about the order structure. In this paper we introduce and study the \emph{o…
Every group retraction can be realized as a topological retraction
Pedro J. Chocano
Given a group retraction , we construct a finite topological space of height 1, together with a topological retraction $\overline{r}: X_r \rightarrow X…