Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Functor
gptkb:mathematical_concept |
| gptkbp:contrastsWith |
gptkb:Covariant_functor
|
| gptkbp:example |
gptkb:Hom_functor
gptkb:Dual_space_functor |
| gptkbp:field |
Category theory
|
| gptkbp:formalDefinition |
Functor F: C → D such that F(f∘g) = F(g)∘F(f)
|
| gptkbp:hasProperty |
Preserves composition up to reversal
Preserves identities |
| https://www.w3.org/2000/01/rdf-schema#label |
Contravariant functor
|
| gptkbp:mapType |
Category to category
|
| gptkbp:reverses |
Direction of morphisms
|
| gptkbp:usedIn |
gptkb:Mathematics
Computer science |
| gptkbp:bfsParent |
gptkb:Functor
|
| gptkbp:bfsLayer |
5
|