Proximity frames and regularization.

DOI10.1007/s10485-013-9308-9zbMath1316.06009OpenAlexW2114303461MaRDI QIDQ2015817

Guram Bezhanishvili, John Harding

Publication date: 24 June 2014

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-013-9308-9

zbMATH Keywords

duality theorypoint-free topologyproximitiesstable compactnessde Vries algebrasproximity frames

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Frames, locales (06D22) Proximity structures and generalizations (54E05) Preorders, orders, domains and lattices (viewed as categories) (18B35)

Related Items (9)

A Gelfand duality for compact pospaces ⋮ Proximity biframes and Nachbin spaces ⋮ Subordinations on bounded distributive lattices ⋮ Unnamed Item ⋮ An extension of de Vries duality to completely regular spaces and compactifications ⋮ Irreducible equivalence relations, Gleason spaces, and de Vries duality ⋮ Unnamed Item ⋮ De Vries powers: a generalization of Boolean powers for compact Hausdorff spaces. ⋮ Modal operators on compact regular frames and de Vries algebras.

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• An algebraic approach to subframe logics. Intuitionistic case
• Compactification of Frames
• Samuel compactification and completion of uniform frames
• Stable Compactification I
• Continuous Lattices and Domains
• Injective Hulls of Semilattices
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