Just saw the movie last night and was alert to the `two' problem more problematic to me was the whole phrase functor (some preposition) 2 categories between? sounded more like `in'?? .oooO Jim Stasheff jds@math.unc.edu (UNC) Math-UNC (919)-962-9607 \ ( Chapel Hill NC FAX:(919)-962-2568 \*) 27599-3250 http://www.math.unc.edu/Faculty/jds On Mon, 31 Dec 2001, Max Kelly wrote:
I don't know quite what Peter's point is here: there is no difference between the spoken forms of "2-categories" and "two-categories". I think we all write "2-categories", as we write "n-categories" and "w-categories", where I am making-do with "w" for a lower-case Greek omega. Yet Blackwell, Power, and I, when we considered general questions about the algebras for 2-monads and the various kinds of strict and non-strict morphisms of these and some adjunctions between the 2-categories that arise, entitled our paper "Two-dimensional monad theory". I don't think "2-monad theory" would have represented our concerns as well, being capable of interpretation as meaning a wider study than ours, or a narrower one, depending on how it was taken by the reader. To the Australian Research Council, such work is described as research on two-dimensional universal algebra.
What do others think?
Regards - Max.