product (category theory)中文什么意思

积 (范畴论)

• product:    n. 1.产物，产品；制品；产量；出 ...
• category:    n. 1.类型，部门，种类，类别；类 ...
• theory:    n. 1.理论，学理，原理。 2.学 ...

百科释义

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.