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Functor category

In category theory, a branch of mathematics, a functor category D C {\displaystyle D^{C}} is a category where the objects are the functors F : C → D {\displaystyle F:C\to D} and the morphisms are natural transformations η : F → G {\displaystyle \eta :F\to G} between the functors (here, G : C → D {\displaystyle G:C\to D} is another object in the…

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Functor category

Nodes46
Edges45
Triples22
Avg. degree1.96
Density0.043478
Components1

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Functor category

Top relations

related to Examples · 18
Functor category → Ab, Add, An, Any, Because, Funct, Grothendieck, If, K-linear, Natural, Ring, Set, Similar, Some, The, To, VectK, When
related to Facts · 4
Functor category → As, For, Most, Similarly

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Important terminology

displaystyle category functor set functors textbf morphisms objects natural object text categories every presheaves op abelian transformations two also sets

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SubjectPredicateObjectConfidenceSrc
Functor categoryrelated to ExamplesIf0.60section
Functor categoryrelated to ExamplesAn0.60section
Functor categoryrelated to ExamplesThe0.60section
Functor categoryrelated to ExamplesSet0.60section
Functor categoryrelated to ExamplesWhen0.60section
Functor categoryrelated to ExamplesAny0.60section
Functor categoryrelated to ExamplesNatural0.60section
Functor categoryrelated to ExamplesSimilar0.60section
Functor categoryrelated to ExamplesK-linear0.60section
Functor categoryrelated to ExamplesVectK0.60section
Functor categoryrelated to ExamplesAdd0.60section
Functor categoryrelated to ExamplesAb0.60section

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