Here is a gentle (conceptual) introduction into the category theory
--
http://www.cs.toronto.edu/~sme/presentations/cat101.pdf
http://en.wikipedia.org/wiki/Natural_transformation
Suggest taking a look at Gougen
http://www-cse.ucsd.edu/users/goguen/ps/manif.ps.gz
(see also Mikhail's references).
or any of the earlier Baez stuff. I particularly like:
http://math.ucr.edu/home/baez/planck/node5.html as a quick introduction.
Stanford:
I strongly second the Mazur paper - it's going to important to get a
good handle on
what Category Theory folks mean by equivalence.
Carl
Mikhail Gorelkin wrote:
Here is a gentle (conceptual) introduction into the category theory