A de Vries-type duality theorem for the category of locally compact spaces and continuous maps. I
type: Item
instance of: scholarly article
title: A de Vries-type duality theorem for the category of locally compact spaces and continuous maps. I
zbMATH Open document ID: 1240.54088
published in: Acta Mathematica Hungarica
publication date: 2011-02-25T00:00:00Z
review text: Recall from the Stone duality theorem that for each topological space \(X\) there is an extremally disconnected compact Hausdorff space \(Y\) such that the respective Boolean algebras of regular closed subsets of \(X\) and \(Y\) are isomorphic. This paper proves that the category of locally compact Hausdorff spaces and continuous maps is dual to the category of complete local contact algebras and appropriate morphisms between them.
reviewed by: David B. Gauld
Mathematics Subject Classification ID: 54D45
Mathematics Subject Classification ID: 06E15
Mathematics Subject Classification ID: 18A40
Mathematics Subject Classification ID: 54E05
Mathematics Subject Classification ID: 06E10
zbMATH DE Number: 5857800
zbMATH Keywords: locally compact space
zbMATH Keywords: continuous map
zbMATH Keywords: duality
zbMATH Keywords: local contact algebra
author: Georgi D. Dimov
MaRDI profile type: Publication
full work available at URL: s10474-010-0035-5
OpenAlex ID: W2029645949
cites work: Q4693062
cites work: Handbook of Spatial Logics
cites work: Qualitative spatial representation and reasoning: An overview
cites work: A generalization of de Vries duality theorem
cites work: Some generalizations of Fedorchuk duality theorem-I
cites work: Q3416080
cites work: Special issue: Qualitative spatial reasoning
cites work: A representation theorem for Boolean contact algebras
cites work: Q5774427
cites work: Q5836035
cites work: Axiomatizability of geometry without points
cites work: Local proximity spaces
cites work: Q5730653
cites work: Q5602637
cites work: Q5606492
cites work: Region-based topology
cites work: Applications of the Theory of Boolean Rings to General Topology
cites work: Q3447202
cites work: A Proximity Approach to Some Region-Based Theories of Space
DOI: 10.1007/S10474-010-0035-5
description: scientific article; zbMATH DE number 5857800