English

On a fat small object argument

Category Theory 2013-04-26 v1

Abstract

Good colimits introduced by J. Lurie generalize transfinite composites and provide an important tool for understanding cofibrant generation in locally presentable categories. We will explore the relation of good colimits to transfinite composites further and show, in particular, how they eliminate the use of large objects in the usual small object argument.

Cite

@article{arxiv.1304.6974,
  title  = {On a fat small object argument},
  author = {Michael Makkai and Jiří Rosický and Lukáš Vokřínek},
  journal= {arXiv preprint arXiv:1304.6974},
  year   = {2013}
}

Comments

22 pages

R2 v1 2026-06-22T00:06:29.766Z