On lax limits in infinity categories
Category Theory
2020-06-22 v1
Abstract
We introduce partially lax limits of infinity-categories, which interpolate between ordinary limits and lax limits. Most naturally occurring examples of lax limits are only partially lax; we give examples arising from enriched categories and operads. Our main result is a formula for partially lax limits and colimits in terms of the Grothendieck construction. This generalizes a formula of Lurie for ordinary limits and of Gepner-Haugseng-Nikolaus for fully lax limits.
Cite
@article{arxiv.2006.10851,
title = {On lax limits in infinity categories},
author = {John D. Berman},
journal= {arXiv preprint arXiv:2006.10851},
year = {2020}
}
Comments
13 pages, comments welcome