Work

Generalizing β- and λ-maps

Year: 2025

Type: article

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).

Source: Topology and its Applications

DOI: 10.1016/j.topol.2025.109282

Author: Ana Belén Avilez

Institution: University of the Western Cape

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,920

Funders: University of the Western Cape, Ernest Oppenheimer Memorial Trust