Product (category Theory)

Product (category Theory)

In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the cartesian product of sets, the direct product of groups, the direct product of rings and the product of topological spaces. Essentially, the product of a family of objects is the "most general" object which admits a morphism to each of the given objects.

Read more about Product (category Theory):  Definition, Examples, Discussion, Distributivity

Famous quotes containing the word product:

    The product of mental labor—science—always stands far below its value, because the labor-time necessary to reproduce it has no relation at all to the labor-time required for its original production.
    Karl Marx (1818–1883)