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Verdier duality

In mathematics, Verdier duality is a cohomological duality in algebraic topology that generalizes Poincaré duality for manifolds. Verdier duality was introduced in 1965 by Jean-Louis Verdier (1965) as an analog for locally compact topological spaces of Alexander Grothendieck's theory of Poincaré duality in étale cohomology for schemes in algebraic…

Verdier duality, Overview & Relation to classical Poincaré duality

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Verdier duality

Relation to classical Poincaré duality

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Verdier duality

Nodes34
Edges33
Triples11
Avg. degree1.94
Density0.058824
Components1

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Verdier duality

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related to Relation to classical Poincaré duality · 6
Verdier duality → Global Verdier, Here, Let, Poincaré, Suppose, Verdier
related to Verdier duality · 4
Verdier duality → Global Verdier, Hausdorff, There, Verdier
is a · 1
Verdier duality → cohomological duality in algebraic topology that generalizes Poincaré duality for manifolds

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Important terminology

duality verdier displaystyle derived sheaves poincaré cohomology spaces manifolds complex compact map category sheaf locally case manifold algebraic theory étale

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Verdier dualityis acohomological duality in algebraic topology that generalizes Poincaré duality for manifolds0.90text
Verdier dualityrelated to Relation to classical Poincaré dualityPoincaré0.60section
Verdier dualityrelated to Relation to classical Poincaré dualityVerdier0.60section
Verdier dualityrelated to Relation to classical Poincaré dualityHere0.60section
Verdier dualityrelated to Relation to classical Poincaré dualitySuppose0.60section
Verdier dualityrelated to Relation to classical Poincaré dualityLet0.60section
Verdier dualityrelated to Relation to classical Poincaré dualityGlobal Verdier0.60section
Verdier dualityrelated to Verdier dualityVerdier0.60section
Verdier dualityrelated to Verdier dualityThere0.60section
Verdier dualityrelated to Verdier dualityGlobal Verdier0.60section
Verdier dualityrelated to Verdier dualityHausdorff0.60section

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