On the Cantor and Hilbert cube frames and the Alexandroff-Hausdorff theorem

DOI10.1016/J.JPAA.2021.106919OpenAlexW3202449738WikidataQ113870182 ScholiaQ113870182MaRDI QIDQ2065608

Julio C. Urenda, F. Ávila, Luis Angel Zaldívar-Corichi

Publication date: 12 January 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.01794

zbMATH Keywords

Cantor setframeslocales\(p\)-adic numbers\(p\)-adic integerspoint-free topology

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Frames, locales (06D22) Frames and locales, pointfree topology, Stone duality (18F70)

Cites Work

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• Separating families of locale maps and localic embeddings
• A uniform view of localic realcompactness
• The frame of the \(p\)-adic numbers
• Pseudocompleteness in the category of locales
• Frames and Locales
• SEPARABILITY IN LOCALES
• Cantor-Bendixson Properties of the Assembly of a Frame
• Quotient Frames and Subspaces

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