[Haskell-cafe] N and R are categories, no?
dominic.steinitz at blueyonder.co.uk
Thu Mar 15 17:32:38 EDT 2007
> I haven't formally checked it, but I would bet that this endofunctor
> over N, called Sign, is a monad:
Just to be picky a functor isn't a monad. A monad is a triple consisting of a
functor and 2 natural transformations which make certain diagrams commute.
If you are looking for examples, I always think that a partially ordered set
is a good because the objects don't have any elements. A functor is then an
order preserving map between 2 ordered sets and monad is then a closure
(http://en.wikipedia.org/wiki/Closure_operator) - I didn't know this latter
fact until I just looked it up.
More information about the Haskell-Cafe