2 papers
math.GN2026
An overlooked weakening of perfect normality: Perfect regularity in spaces and locales
Ana Belén Avilez, Guram Bezhanishvili, Joanne Walters-Wayland
We introduce the notion of perfect regularity as an appropriate weakening of perfect normality, both for spaces and locales. Various characterizations are given, using Dedekind-Mac…
math.GN2024
Generalizing - and -maps
Ana Belén Avilez
We generalize the notions of - and -maps to general selections of sublocales, obtaining different classes of localic maps. These new classes of maps are used to characterize…