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Hypercovering

In mathematics, and in particular homotopy theory, a hypercovering (or hypercover) is a simplicial object that generalises the Čech nerve of a cover. For the Čech nerve of an open cover U → X {\displaystyle {\mathcal {U}}\to X} , one can show that if the space X {\displaystyle X} is compact and if every intersection of open sets in the cover is…

Art, Formal definition & Properties

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Map overview Semantic statistics

Hypercovering

Nodes19
Edges18
Triples7
Avg. degree1.89
Density0.105263
Components1

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Hypercovering

Top relations

related to Properties · 7
Hypercovering → Artin-Mazur, For, Friedlander, HR, Noetherian, The, The Verdier

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Important terminology

étale homotopy displaystyle simplicial cover hypercover sets object every given hypercoverings theory čech nerve open mathcal definition mathematics cohomology category

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Hypercoveringrelated to PropertiesThe Verdier0.60section
Hypercoveringrelated to PropertiesFor0.60section
Hypercoveringrelated to PropertiesNoetherian0.60section
Hypercoveringrelated to PropertiesHR0.60section
Hypercoveringrelated to PropertiesThe0.60section
Hypercoveringrelated to PropertiesArtin-Mazur0.60section
Hypercoveringrelated to PropertiesFriedlander0.60section

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    Min side: 3
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