Homotopy-theoretic aspects of 2-monads
Category Theory
2010-09-10 v1 Algebraic Topology
Abstract
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.
Cite
@article{arxiv.math/0607646,
title = {Homotopy-theoretic aspects of 2-monads},
author = {Stephen Lack},
journal= {arXiv preprint arXiv:math/0607646},
year = {2010}
}
Comments
26 pages