Categories of categories

Details Categories of categories Categories of categories

2007-09-06

arxiv.org/abs/0709.0837v1

Mathematics

Category Theory

29 pages

Scientific paper

A certain amount of category theory is developed in an arbitrary finitely complete category with a factorization system on it, playing the role of the comprehensive factorization system on Cat. Those aspects related to the concepts of finality (in particular terminal objects), discreteness and components, representability, colimits and universal arrows, seem to be best expressed in this very general setting. Furthermore, at this level we are in fact doing not only (E,M)-category theory but, in a sense, also (E,M)-topology. Other axioms, regarding power objects, duality, exponentials and the arrow object, are considered.

Affiliated with

Also associated with

No associations

Rating

Categories of categories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Categories of categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Categories of categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-657832