ah, sorry! right – the type constructor and fmap together make up a functor.
I meant functors where the objects being mapped aren't types, but type inhabitants, and the morphisms being mapped are not arrows between types, but arrows between type inhabitants. (I suppose this also has to do with "the only category in Haskell is Hask", rather than types also being themselves categories?)
I meant functors where the objects being mapped aren't types, but type inhabitants, and the morphisms being mapped are not arrows between types, but arrows between type inhabitants. (I suppose this also has to do with "the only category in Haskell is Hask", rather than types also being themselves categories?)