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Cocycle

In mathematics a cocycle is a closed cochain. Cocycles are used in algebraic topology to express obstructions (for example, to integrating a differential equation on a closed manifold). They are likewise used in group cohomology. In autonomous dynamical systems, cocycles are used to describe particular kinds of map, as in Oseledets theorem.

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Cocycle

Nodes14
Edges13
Triples6
Avg. degree1.86
Density0.142857
Components1

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Cocycle

Top relations

related to Algebraic Topology · 5
Cocycle → CW, Elements, If, Let, Then
is a · 1
Cocycle → closed cochain

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Important terminology

cocycles used displaystyle closed algebraic topology cohomology map mathematics cochain autonomous elements text express obstructions example integrating differential equation manifold

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Cocycleis aclosed cochain0.90text
Cocyclerelated to Algebraic TopologyLet0.60section
Cocyclerelated to Algebraic TopologyCW0.60section
Cocyclerelated to Algebraic TopologyThen0.60section
Cocyclerelated to Algebraic TopologyElements0.60section
Cocyclerelated to Algebraic TopologyIf0.60section

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