Functor category
Functor category From Wikipedia, the free encyclopedia Jump to navigation Jump to search In category theory , a branch of mathematics , a functor category D C {\displaystyle D^{C}} is a category where the objects are the functors F : C → D {\displaystyle F:C\to D} and the morphisms are natural transformations η : F → G {\displaystyle \eta :F\to G} between the functors (here, G : C → D {\displaystyle G:C\to D} is another object in the category). Functor categories are of interest for two main reasons: many commonly occurr