Statements (30)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
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 Abelian group Category Set Module |
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
|
https://www.w3.org/2000/01/rdf-schema#label |
Coproduct (category theory)
|
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 |
6
|