paper

Free colimit completion in -categories

arXiv:2210.08582

Abstract

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

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