English

Interchange of filtered 2-colimits and finite 2-limits

Category Theory 2009-04-10 v2

Abstract

In this paper we go into the study of 2-limits and 2-colimits in the 2-category CAT the category of small categories. More precisely we show the commutation of filtered 2-colimits and finite 2-limits. It is a generalization of a classical result in category theory.

Keywords

Cite

@article{arxiv.0904.1553,
  title  = {Interchange of filtered 2-colimits and finite 2-limits},
  author = {Delphine Dupont},
  journal= {arXiv preprint arXiv:0904.1553},
  year   = {2009}
}