Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
Category theory concept |
| gptkbp:definedIn |
Category theory
|
| gptkbp:defines |
A pair of functors between two categories, one left adjoint and one right adjoint, related by a natural isomorphism between certain hom-sets.
|
| gptkbp:describedBy |
Mac Lane, Saunders. Categories for the Working Mathematician
|
| gptkbp:example |
gptkb:Free-forgetful_adjunction
gptkb:Product_and_Hom_functors Limit and colimit functors |
| gptkbp:field |
gptkb:Mathematics
Category theory |
| gptkbp:hasPart |
gptkb:Left_adjoint
Right adjoint |
| gptkbp:hasProperty |
Characterized by universal mapping property
Preserves limits or colimits |
| https://www.w3.org/2000/01/rdf-schema#label |
Adjoint functor
|
| gptkbp:introduced |
gptkb:Daniel_Kan
|
| gptkbp:introducedIn |
1958
|
| gptkbp:relatedTo |
gptkb:Functor
Universal property Natural transformation |
| gptkbp:bfsParent |
gptkb:Functor
|
| gptkbp:bfsLayer |
5
|