Localic separation and the duality between closedness and fittedness

DOI10.1016/j.topol.2023.108785arXiv2310.18522OpenAlexW4389431321MaRDI QIDQ6142728

Igor Arrieta

Publication date: 4 January 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.18522

zbMATH Keywords

dualitylocaleclosure operatorseparation axiom\(T_1\)-axiomfitted sublocale\(\mathcal{F}\)-separated localesaturated subspacestrong Hausdorff locale

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Frames, locales (06D22) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Frames and locales, pointfree topology, Stone duality (18F70)

Cites Work

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• The other closure and complete sublocales
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• On weak lattice and frame homomorphisms
• Frames and Locales
• T1-locales
• Function spaces and adjoints.
• Irreducibility in Pointfree Topology
• Separation in Point-Free Topology
• Atomless Parts of Spaces.