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

DOI10.1007/s10474-010-0039-1zbMath1274.54047OpenAlexW4236582114MaRDI QIDQ626054

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/s10474-010-0039-1

zbMATH Keywords

embeddingdualityperfect mapframeskeletal maplocal contact algebra(quasi-)open mapinjective (surjective) mappinglocally compact (compact) space

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Categorical methods in general topology (54B30) Proximity structures and generalizations (54E05) Local compactness, (sigma)-compactness (54D45) Chain conditions, complete algebras (06E10)

Related Items (3)

Base and weight of Boolean \(\mathrm{I}\)-contact algebras ⋮ On dimension andweight of a local contact algebra ⋮ Open and other kinds of map extensions over zero-dimensional local compactifications

Cites Work

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• 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
• Connection structures: Grzegorczyk's and Whitehead's definitions of point
• On the dimension of compact spaces
• The Theory of Representation for Boolean Algebras
• Applications of the Theory of Boolean Rings to General Topology

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