8 papers
On continuous homomorphisms from Alexandroff paratopological groups into topological groups
Pedro J. Chocano, Tayomara Borsich
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…
Robust copula estimation for one-shot devices with correlated failure modes
E. Castilla, P. J. Chocano
This paper presents a robust method for estimating copula models to evaluate dependence between failure modes in one-shot devices-systems designed for single use and destroyed upon…
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…
A formula for the Euler characteristic of a poset through the determinant of the order-complement matrix
Pedro J. Chocano, Luis Felipe Prieto-MartÃnez
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…
Matrix Invariants as Homotopy Invariants in Finite -spaces
Pedro J. Chocano
We establish a bijection between the set of finite topological -spaces (or partially ordered sets) and equivalence classes of square matrices. The absolute value of the determ…
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…