arXiv Open Access 2024

Generalizing $β$- and $λ$-maps

Ana Belén Avilez

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Abstrak

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).

Topik & Kata Kunci

math.GN math.CT

Penulis (1)

Ana Belén Avilez

Format Sitasi

APA MLA BibTeX

Avilez, A.B. (2024). Generalizing $β$- and $λ$-maps. https://arxiv.org/abs/2407.16941

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓