👉 In mathematics, a coproduct is an operation on a category that takes elements from two categories and produces another category. It is often used in algebraic topology to construct homology groups of topological spaces. The coproduct operation generalizes the notion of "product" to higher-dimensional spaces by taking the Cartesian product of these spaces, which can be seen as a way to combine multiple copies of a single space into one larger space. For example, consider the category of vector spaces over a