Natural-transformation meaning

(category theory) Given categories C and D and functors F and G both going from C to D, then a transformation η from F to G consists of componentsηX:F(X) → G(X), indexed by objects X of C, which are morphisms in D. The transformation is said to be natural if for any arrow f:XY in C, the following naturality condition is satisfied: .
noun
0
0
Advertisement