coprod
Represents a coproduct operation in mathematics, commonly used to denote direct sums or disjoint unions.
Overview
Essential in advanced mathematics, particularly in category theory, algebra, and topology, where it denotes the dual concept of a product operation.
- Frequently used in abstract algebra to represent direct sums of algebraic structures
- Common in category theory to denote categorical coproducts
- Appears in topology when describing disjoint unions of spaces
- Often seen in mathematical papers and advanced textbooks dealing with universal constructions
Examples
Coproduct over a sequence of vector spaces.
\coprod_{i=1}^n V_iIndexed coproduct in category theory.
\coprod_{\alpha \in A} X_\alphaDouble coproduct with subscript and superscript limits.
\coprod_{i=1}^m \coprod_{j=1}^n G_{ij}