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Stone duality

In mathematics, there is an ample supply of categorical dualities between certain categories of topological spaces and categories of partially ordered sets. Today, these dualities are usually collected under the label Stone duality, since they form a natural generalization of Stone's representation theorem for Boolean algebras. These concepts are named…

Art, Duality of sober spaces and spatial locales & Overview of Stone-type dualities

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Overview

Overview of Stone-type dualities

Duality of sober spaces and spatial locales

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Stone duality

Nodes58
Edges57
Triples45
Avg. degree1.97
Density0.034483
Components1

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Stone duality

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related to References · 37
Stone duality → Abstract Stone DualityCaramello, Advanced Mathematics, Burris, Cambridge, Cambridge Studies, Cambridge Tracts, Cambridge University Press, Categorical, Course, CT, Encyclopedia, ISBN, Its Applications, Johnstone, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Maria Cristina, Mathematics, Olivia
related to overview · 8
Stone duality → Loc, Now, Probably, SFrm, SLoc, Sob, Stone, The

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pt set locale one space points topological open spaces point lattice top category topology duality dualities frame stone functor sets

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SubjectPredicateObjectConfidenceSrc
Stone dualityrelated to overviewProbably0.60section
Stone dualityrelated to overviewStone0.60section
Stone dualityrelated to overviewSob0.60section
Stone dualityrelated to overviewSFrm0.60section
Stone dualityrelated to overviewThe0.60section
Stone dualityrelated to overviewSLoc0.60section
Stone dualityrelated to overviewLoc0.60section
Stone dualityrelated to overviewNow0.60section
Stone dualityrelated to ReferencesStanley0.60section
Stone dualityrelated to ReferencesBurris0.60section
Stone dualityrelated to ReferencesSankappanavar0.60section
Stone dualityrelated to ReferencesCourse0.60section

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