H. Barriga-Acosta

activity

20202025

collaborators

3 papers

math.AT2025

Vietoris-Rips complexes of torus grids

Henry Adams, Adenike Yeside Adetowubo, Hector Barriga-Acosta +2

We study the topology of Vietoris--Rips complexes of finite grids on the torus. Let $T_{n, n}$ be the grid of $n \times n$ points on the flat torus $S^{1} \times S^{1}$ , equipped with the…

math.GN2021

Box and Nabla Products that are D-Spaces

Hector A. Barriga-Acosta, Paul M. Gartside

A space $X$ is $D$ if for every assignment, $U$ , of an open neighborhood to each point $x$ in $X$ there is a closed discrete $D$ such that $⋃ {U (x) : x \in D} = X$ . The box p…

math.GN2020

Monotone Normality and Nabla-Products

Hector A. Barriga-Acosta, Paul M. Gartside

Roitman's combinatorial principle $Δ$ is equivalent to monotone normality of the nabla product, $\nabla (ω + 1)^{ω}$ . If ${X_{n} : n \in ω}$ is a family of metrizable spaces and $\nabl…