In category theory, a branch of mathematics, a natural transformation provides a way of transforming one functor into another while respecting the internal structure (i.e. the composition of morphisms) of the categories involved. Hence, a natural transformation can be considered to be a "morphism of functors". Indeed this intuition can be formalized to define so-called functor categories. Natural transformations are, after categories and functors, one of the most basic notions of category theory and consequently appear in the majority of its applications.
Read more about Natural Transformation: Definition, Unnatural Isomorphism, Operations With Natural Transformations, Functor Categories, Yoneda Lemma, Historical Notes, Symbols Used
Famous quotes containing the word natural:
“Show me one thing here on earth which has begun well and not ended badly. The proudest palpitations are engulfed in a sewer, where they cease throbbing, as though having reached their natural term: this downfall constitutes the heart’s drama and the negative meaning of history.”
—E.M. Cioran (b. 1911)