Unfaithful functor

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:Functor
gptkb:mathematical_concept
gptkbp:contrastsWith gptkb:Faithful_functor
gptkbp:defines A functor that is not faithful
gptkbp:example The constant functor from any category to a one-object category
gptkbp:field Category theory
https://www.w3.org/2000/01/rdf-schema#label Unfaithful functor
gptkbp:mapType Objects and morphisms between categories
gptkbp:property Does not injectively map morphisms between objects
gptkbp:relatedTo gptkb:Faithful_functor
Full functor
gptkbp:bfsParent gptkb:Faithful_functor
gptkbp:bfsLayer 6