In mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs (a, b) where a is in...

graph theory, the Cartesian product G □ H of graphs G and H is a graph such that: the vertex set of G □ H is the Cartesian product V(G) × V(H); and two...

can often define a direct product of objects already known, giving a new one. This induces a structure on the Cartesian product of the underlying sets from...

product Interior product Outer product Tensor product In set theory, a Cartesian product is a mathematical operation which returns a set (or product set)...

mathematics, a product space is the Cartesian product of a family of topological spaces equipped with a natural topology called the product topology. This...

geometry Cartesian morphism, formalisation of pull-back operation in category theory Cartesian oval, a curve Cartesian product, a direct product of two...

such as the Cartesian product of sets, the direct product of groups or rings, and the product of topological spaces. Essentially, the product of a family...

product in seven dimensions A product in a Künneth theorem A crossed product in von Neumann algebras A Cartesian product in set theory Cross-multiplication...

on an n-ary Cartesian product of partially ordered sets; this order is a total order if and only if all factors of the Cartesian product are totally ordered...

group-theoretic analogue of the Cartesian product of sets and is one of several important notions of direct product in mathematics. In the context of...