Freyd's adjoint functor theorem
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
functors
locally small categories |
| gptkbp:concerns |
adjoint functors
|
| gptkbp:field |
gptkb:category_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Freyd's adjoint functor theorem
|
| gptkbp:namedAfter |
gptkb:Peter_Freyd
|
| gptkbp:publishedBy |
gptkb:Peter_Freyd
|
| gptkbp:publishedIn |
1964
|
| gptkbp:relatedTo |
adjunction
limit (category theory) solution set condition |
| gptkbp:state |
A functor between locally small categories has a left adjoint if and only if it preserves limits and satisfies the solution set condition.
|
| gptkbp:bfsParent |
gptkb:adjoint_functor_theorem
gptkb:Peter_J._Freyd |
| gptkbp:bfsLayer |
7
|