U+2210 "∐" N-Ary Coproduct Unicode Character

U+2210 "∐" N-Ary Coproduct is a mathematical symbol that represents a generalized or iterated coproduct, primarily used in category theory, algebra, and topology to denote the disjoint union or direct sum of multiple objects. It serves as the categorical dual of the product symbol "∏" and is often employed when combining structures such as sets, groups, or modules in a way that preserves their distinct identities. Unlike binary coproducts, which combine two objects, the n-ary version allows for the simultaneous combination of an arbitrary number of components, making it essential for describing operations like infinite disjoint unions or direct sums indexed by a set. In practical notation, it is typically used with an index indicating the range of the operation, such as ∐ i∈I X i .