general adjoint functor theorem
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
functors between categories
|
| gptkbp:concerns |
limits
colimits adjoint functors locally small categories |
| gptkbp:field |
gptkb:category_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
general adjoint functor theorem
|
| gptkbp:implies |
existence of adjoint functors under certain conditions
|
| gptkbp:namedAfter |
gptkb:Peter_Freyd
|
| gptkbp:publishedIn |
1964
|
| gptkbp:relatedTo |
gptkb:special_adjoint_functor_theorem
gptkb:Freyd's_adjoint_functor_theorem |
| gptkbp:requires |
solution set condition
completeness of the target category |
| gptkbp:state |
A functor with certain properties has a left or right adjoint
|
| gptkbp:bfsParent |
gptkb:adjoint_functor_theorem
|
| gptkbp:bfsLayer |
7
|