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1 definition found From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]: functor In category theory, a functor F is an operator on types. F is also considered to be a polymorphic operator on functions with the type F : (a -> b) -> (F a -> F b). Functors are a generalisation of the function "map". The type operator in this case takes a type T and returns type "list of T". The map function takes a function and applies it to each element of a list. (1995-02-07)