Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Category_theory_concept |
| gptkbp:definedIn |
Category theory
|
| gptkbp:domain |
Product of two categories
|
| gptkbp:example |
gptkb:Hom_functor
Cartesian product of sets Tensor product of vector spaces |
| gptkbp:formalDefinition |
A functor F: C × D → E, where C, D, E are categories
|
| gptkbp:generalizes |
gptkb:Functor
|
| gptkbp:hasCodomain |
gptkb:Category
|
| gptkbp:mapsMorphisms |
Pairs of morphisms to morphisms
|
| gptkbp:mapsObjects |
Pairs of objects to objects
|
| gptkbp:preservesComposition |
True
|
| gptkbp:preservesIdentities |
True
|
| gptkbp:relatedTo |
gptkb:Monoidal_category
gptkb:Natural_transformation |
| gptkbp:bfsParent |
gptkb:Tensor_product
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bifunctor
|