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Stone space

In topology and related areas of mathematics, a Stone space, also known as a profinite space, profinite set, or Boolean space, is a compact Hausdorff totally disconnected space. Stone spaces are named after Marshall Harvey Stone who introduced and studied them in the 1930s in the course of his investigation of Boolean algebras, which culminated in his…

Equivalent conditions, Examples & Stone's representation theorem for Boolean algebras

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Equivalent conditions

Examples

Stone's representation theorem for Boolean algebras

Condensed mathematics

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Stone space

Nodes38
Edges37
Triples23
Avg. degree1.95
Density0.052632
Components1

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Stone space

Top relations

related to Further reading · 7
Stone space → Cambridge, Cambridge University Press, ISBN, Johnstone, Peter, Stone Spaces, Vol
related to Examples · 5
Stone space → Cantor, Generalizing, Important, Stone, The Stone
related to Stone's representation theorem for Boolean algebras · 5
Stone space → Boolean, Stone, Stone's, These, To
related to Equivalent conditions · 4
Stone space → Hausdorff, Stone, T0, The
related to Condensed mathematics · 2
Stone space → Stone, The

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Important terminology

stone space spaces boolean mathematics algebras theorem topology displaystyle profinite set representation equivalent finite discrete sets examples stone's also compact

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Stone spacerelated to Condensed mathematicsThe0.60section
Stone spacerelated to Condensed mathematicsStone0.60section
Stone spacerelated to Equivalent conditionsThe0.60section
Stone spacerelated to Equivalent conditionsStone0.60section
Stone spacerelated to Equivalent conditionsT00.60section
Stone spacerelated to Equivalent conditionsHausdorff0.60section
Stone spacerelated to ExamplesImportant0.60section
Stone spacerelated to ExamplesStone0.60section
Stone spacerelated to ExamplesCantor0.60section
Stone spacerelated to ExamplesGeneralizing0.60section
Stone spacerelated to ExamplesThe Stone0.60section
Stone spacerelated to Further readingJohnstone0.60section

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    Min side: 3
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