2024/07/24 by Avilez, Ana Belén
#06D22 #18F70 #54C10 #54D15 #54D35 #54G05 #Category Theory (math.CT) #FOS: Mathematics #General Topology (math.GN)
paper · doi:10.48550/arxiv.2407.16941
We generalize the notions of β- and λ-maps to general selections of sublocales, obtaining different classes of localic maps. These new classes of maps are used to characterize almost normality, extremal disconnectedness, F-frames, Oz-frames, among others types of locales, in a manner akin to the characterization of normal locales via β-maps. As a byproduct we obtain a characterization of localic maps that preserve the completely below relation (that is, the right adjoints of assertive frame homomorphisms).