Generalizing β- and λ-maps
| dc.contributor.author | Avilez, Ana Belén | |
| dc.date.accessioned | 2025-08-11T12:38:23Z | |
| dc.date.available | 2025-08-11T12:38:23Z | |
| dc.date.issued | 2025 | |
| dc.description.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). | |
| dc.identifier.citation | Avilez, A.B., 2025. Generalizing β-and λ-maps. Topology and its Applications, 365, p.109282. | |
| dc.identifier.uri | https://doi.org/10.1016/j.topol.2025.109282 | |
| dc.identifier.uri | https://hdl.handle.net/10566/20675 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier B.V. | |
| dc.subject | Frame | |
| dc.subject | Locale | |
| dc.subject | Regular Lindelöf reflection | |
| dc.subject | Stone-Čech compactification | |
| dc.subject | Sublocale | |
| dc.title | Generalizing β- and λ-maps | |
| dc.type | Article |