Cellular categories
Category Theory
2014-06-17 v1 Algebraic Topology
Abstract
We study locally presentable categories equipped with a cofibrantly generated weak factorization system. Our main result is that these categories are closed under 2-limits, in particular under pseudopullbacks. We give applications to deconstructible classes in Grothendieck categories. We discuss pseudopullbacks of combinatorial model categories.
Cite
@article{arxiv.1304.7572,
title = {Cellular categories},
author = {M. Makkai and J. Rosický},
journal= {arXiv preprint arXiv:1304.7572},
year = {2014}
}