Adjective
functorial (comparative more functorial, superlative most functorial)
(category theory) Of or pertaining to a functor
A functorial, algebraic approach originally by Greenberg with geometric flavoring added by Harper. Source: Internet
Although there are several more intrinsic constructions, the spin representations are not functorial in the quadratic form, so they cannot be built up naturally within the tensor algebra. Source: Internet
Example: fundamental group of torus As an example of the distinction between the functorial statement and individual objects, consider homotopy groups of a product space, specifically the fundamental group of the torus. Source: Internet
Thus one has the fundamental groupoid instead of the fundamental group, and this construction is functorial. Source: Internet