functorial

Adjective

Meaning

functorial (comparative more functorial, superlative most functorial)

(category theory) Of or pertaining to a functor

Examples

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

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