Cartesian

Summary

See also × in § Arithmetic operators.

Denotes the Cartesian product of two sets. That is, $A\times B$ is the set formed by all pairs of an element of $A$ and an element of $B$.

Denotes the direct product of two mathematical structures of the same type, which is the Cartesian product of the underlying sets, equipped with a structure of the same type. For example, direct product of rings, direct product of topological spaces.

In category theory, denotes the direct product (often called simply product) of two objects, which is a generalization of the preceding concepts of product.