category theory encompasses more than just algebra. so there are homomorphisms, but also diffeomorphisms, symplectomorphisms, et cetera (in addition to things which don't have the -morphism suffix in normal usage, like continuous maps, natural transformations.....)
b On Nov 6, 2010, at 7:19 AM, rocon...@theorem.ca wrote: > On Sat, 6 Nov 2010, Sebastian Fischer wrote: > >> Hello, >> >> I'm curious and go a bit off topic triggered by your statement: >> >> On Nov 6, 2010, at 12:49 PM, rocon...@theorem.ca wrote: >> >>> An applicative functor morphism is a polymorphic function, >>> eta : forall a. A1 a -> A2 a between two applicative functors A1 and A2 >>> that preserve pure and <*> >> >> I recently wondered: why "morphism" and not "homomorphism"? > > Morphisms can be more general than homomorphisms. But in this case I mean > the morphisms which are homomorphisms. I was too lazy to write out the whole > word. > > -- > Russell O'Connor <http://r6.ca/> > ``All talk about `theft,''' the general counsel of the American Graphophone > Company wrote, ``is the merest claptrap, for there exists no property in > ideas musical, literary or artistic, except as defined by statute.'' > _______________________________________________ > Haskell-Cafe mailing list > Haskell-Cafe@haskell.org > http://www.haskell.org/mailman/listinfo/haskell-cafe _______________________________________________ Haskell-Cafe mailing list Haskell-Cafe@haskell.org http://www.haskell.org/mailman/listinfo/haskell-cafe
