Natural Transformation

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:

    Natural science will in time incorporate into itself the science of man, just as the science of man will incorporate into itself natural science: there will be one science.
    Karl Marx (1818–1883)