Homotopy-theoretic aspects of 2-monads

Details Homotopy-theoretic aspects of 2-monads Homotopy-theoretic aspects of 2-monads

2006-07-26

arxiv.org/abs/math/0607646v1

Journal of Homotopy and Related Structures 2(2):229-260, 2007

Mathematics

Category Theory

26 pages

Scientific paper

We study 2-monads and their algebras using a Cat-enriched version of Quillen model categories, emphasizing the parallels between the homotopical and 2-categorical points of view. Every 2-category with finite limits and colimits has a canonical model structure in which the weak equivalences are the equivalences; we use these to construct more interesting model structures on 2-categories, including a model structure on the 2-category of algebras for a 2-monad T, and a model structure on a 2-category of 2-monads on a fixed 2-category K.

Affiliated with

Also associated with

No associations

Rating

Homotopy-theoretic aspects of 2-monads 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 Homotopy-theoretic aspects of 2-monads, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homotopy-theoretic aspects of 2-monads will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-478510