A pointfree theory of Pervin spaces

DOI10.2989/16073606.2022.2146545arXiv2201.06266OpenAlexW4319320380MaRDI QIDQ6081345

Célia Borlido, Anna Laura Suarez

Publication date: 25 October 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.06266

zbMATH Keywords

completionPervin spaceFrith frameFrith quasi-uniformitytransitive and totally bounded quasi-uniformity

Mathematics Subject Classification ID

Frames, locales (06D22) Uniform structures and generalizations (54E15)

Cites Work

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• Distributive envelopes and topological duality for lattices via canonical extensions.
• Quasi-uniformization of topological spaces
• Spatial sublocales and essential primes
• Frame quasi-uniformities
• Frames with transitive structures
• Entourages, density, Cauchy maps, and completion
• Completion of quasi-uniform frames
• The congruence biframe as a quasi-uniform bicompletion
• Local connectedness and the wallman compactification
• Compactification of Frames
• Dual Space of a Lattice as the Completion of a Pervin Space
• Cozero bases of frames

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