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...

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

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

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...

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

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...

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...

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...

categorical product is the usual Cartesian product, and the terminal object is a singleton set. In the category of groups the categorical product is the Cartesian...