Covariant functor

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:Functor
gptkb:mathematical_concept
gptkbp:contrastsWith gptkb:Contravariant_functor
gptkbp:definedIn F(id_X) = id_{F(X)} for all objects X
Functor F: C → D such that F(f ∘ g) = F(f) ∘ F(g)
gptkbp:field Category theory
https://www.w3.org/2000/01/rdf-schema#label Covariant functor
gptkbp:mapType Objects of one category to objects of another category
Morphisms of one category to morphisms of another category
gptkbp:preserves Composition of morphisms
Identity morphisms
gptkbp:usedIn gptkb:Mathematics
Computer science
gptkbp:bfsParent gptkb:Functor
gptkbp:bfsLayer 5