Generalizing β- and λ-maps
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Date
2025
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier B.V.
Abstract
We generalize the notions of β- and λ-maps in terms of selections of sublocales, obtaining different classes of localic maps. These new classes of maps are used to characterize almost normal, extremally disconnected, F- and Oz-locales, among other 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).
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Keywords
Frame, Locale, Regular Lindelöf reflection, Stone-Čech compactification, Sublocale
Citation
Avilez, A.B., 2025. Generalizing β-and λ-maps. Topology and its Applications, 365, p.109282.