A de Vries-type duality theorem for the category of locally compact spaces and continuous maps. I

DOI10.1007/s10474-010-0035-5zbMath1240.54088OpenAlexW2029645949MaRDI QIDQ626042

Georgi D. Dimov

Publication date: 25 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-0035-5

zbMATH Keywords

dualitycontinuous maplocally compact spacelocal contact algebra

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Proximity structures and generalizations (54E05) Stone spaces (Boolean spaces) and related structures (06E15) Local compactness, (sigma)-compactness (54D45) Chain conditions, complete algebras (06E10)

Related Items (10)

Categorical extension of dualities: from Stone to de Vries and beyond. I ⋮ On dimension andweight of a local contact algebra ⋮ From contact relations to modal operators, and back ⋮ A de Vries-type duality theorem for the category of locally compact spaces and continuous maps. I ⋮ A de Vries-type duality theorem for the category of locally compact spaces and continuous maps. II ⋮ Categorical extension of dualities: from Stone to de Vries and beyond. II ⋮ An extension of de Vries duality to completely regular spaces and compactifications ⋮ Irreducible equivalence relations, Gleason spaces, and de Vries duality ⋮ Open and other kinds of map extensions over zero-dimensional local compactifications ⋮ An extension of de Vries duality to normal spaces and locally compact Hausdorff spaces

Cites Work

• A de Vries-type duality theorem for the category of locally compact spaces and continuous maps. I
• Some generalizations of Fedorchuk duality theorem-I
• A generalization of de Vries duality theorem
• Region-based topology
• Local proximity spaces
• Axiomatizability of geometry without points
• A representation theorem for Boolean contact algebras
• Handbook of Spatial Logics
• A Proximity Approach to Some Region-Based Theories of Space
• Applications of the Theory of Boolean Rings to General Topology
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