Generalizing $β$- and $λ$-maps
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929434820345856 |
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| author | Avilez, Ana Belén |
| author_facet | Avilez, Ana Belén |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16941 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalizing $β$- and $λ$-maps Avilez, Ana Belén General Topology Category Theory 06D22, 18F70, 54D35, 54C10, 54D15, 54G05 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). |
| title | Generalizing $β$- and $λ$-maps |
| topic | General Topology Category Theory 06D22, 18F70, 54D35, 54C10, 54D15, 54G05 |
| url | https://arxiv.org/abs/2407.16941 |