English

Computing Weighted Colimits

Category Theory 2019-10-29 v2

Abstract

A well-known result of SGA4 shows how to compute the pseudo-colimit of a category-valued pseudo-functor on a 1-category. The main result of this paper gives a generalization of this computation by constructing the weighted pseudo-colimit of a category-valued pseudo-functor on a 2-category. From this is derived a computation of the weighed bicolimit of a category-valued pseudo-functor.

Cite

@article{arxiv.1711.05903,
  title  = {Computing Weighted Colimits},
  author = {Michael Lambert},
  journal= {arXiv preprint arXiv:1711.05903},
  year   = {2019}
}

Comments

24 pages

R2 v1 2026-06-22T22:47:42.333Z