3 papers
math.GN2023
On selectively highly divergent spaces
Carlos David Jiménez-Flores, Alejandro Ríos-Herrejón, Alejandro Darío Rojas-Sánchez +1
We say that a topological space is selectively highly divergent (SHD) if for every sequence of non-empty open sets of , we can find such tha…
math.GN2023
Weakly separated spaces and Pixley-Roy hyperspaces
Alejandro Ríos-Herrejón
In this paper we obtain new results regarding the chain conditions in the Pixley-Roy hyperspaces . For example, if and denote the cellularity and weak…
math.GN2023
New results regarding the lattice of uniform topologies on
Roberto Pichardo-Mendoza, Alejandro Ríos-Herrejón
For a Tychonoff space , the lattice was introduced in L.A. Pérez-Morales, G. Delgadillo-Piñón, and R. Pichardo-Mendoza, "The lattice of uniform topologies on $C(X…