English

Free colimit completion in $\infty$-categories

Category Theory 2024-03-01 v2 Algebraic Topology

Abstract

We show how several useful properties of Ind-constructions in \infty-categories extend to arbitrary free colimit completion constructions.

Keywords

Cite

@article{arxiv.2210.08582,
  title  = {Free colimit completion in $\infty$-categories},
  author = {Charles Rezk},
  journal= {arXiv preprint arXiv:2210.08582},
  year   = {2024}
}

Comments

14 pages. Several changes since prior version, including a major change in terminology: "regular class" is now used in place of "filtering class", which term has been redeployed for another meaning. Includes changes suggested by reviewer, and some additional remarks on the examples of filtering and cofiltering classes

R2 v1 2026-06-28T03:45:15.120Z