Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Category_theory_concept |
| gptkbp:alsoKnownAs |
Sum
Categorical sum |
| gptkbp:definedIn |
Universal object with morphisms from each object in a family
|
| gptkbp:dualPolyhedron |
gptkb:Product_(category_theory)
|
| gptkbp:example |
gptkb:King
gptkb:Vector gptkb:group_of_people gptkb:topology gptkb:Abelian_group gptkb:Module gptkb:Category Set |
| gptkbp:field |
Category theory
|
| gptkbp:generalizes |
Direct sum
Disjoint union Free product Wedge sum |
| gptkbp:hasUniversalProperty |
For any family of objects, morphisms from each object factor uniquely through the coproduct
|
| gptkbp:hasWikipediaPage |
https://en.wikipedia.org/wiki/Coproduct
|
| gptkbp:property |
Initial object is the coproduct of the empty family
Coproducts are unique up to isomorphism |
| gptkbp:relatedTo |
gptkb:Colimit
Universal property Pushout |
| gptkbp:symbol |
\coprod
|
| gptkbp:bfsParent |
gptkb:Universal_(mathematics)
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Coproduct (category theory)
|