4 citations · 6 across the 5 of their papers we have counts for
6 papers
Calibers of canonical hyperconnected spaces and their Vietoris hyperspaces
Alejandro Ríos-Herrejón, Ángel Tamariz-Mascarúa
For infinite cardinals , we calculate the calibers of topological spaces of cardinality whose open sets are the subsets satisfying . We al…
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…
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…
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…
Some notes on topological calibers
Alejandro Ríos-Herrejón, Ángel Tamariz-Mascarúa
We show that the definition of caliber given by Engelking in R. Engelking, "General topology", Sigma series in pure mathematics, Heldermann, vol. 6, 1989, which we will call calibe…
Singular precalibers for topological products
Alejandro Ríos-Herrejón
In this paper we prove that if is a singular cardinal with uncountable cofinality, then every power of a given topological space with precaliber has precaliber as well.…