On 2-categorical infinity-cosmoi

Investor logo

Warning

This publication doesn't include Faculty of Arts. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

BOURKE John Denis LACK Stephen

Year of publication 2024
Type Article in Periodical
Magazine / Source Journal of Pure and Applied Algebra
MU Faculty or unit

Faculty of Science

Citation
Web https://www.sciencedirect.com/science/article/pii/S0022404924000586
Doi http://dx.doi.org/10.1016/j.jpaa.2024.107661
Keywords infinity-categories; accessible and locally presentable categories; Enriched categories; Homotopical algebra
Description Recently Riehl and Verity have introduced infinity-cosmoi, which are certain simplicially enriched categories with additional structure. In this paper we investigate those infinity-cosmoi which are in fact 2-categories; we shall refer to these as 2-cosmoi. We show that each 2-category with flexible limits gives rise to a 2-cosmos whose distinguished class of isofibrations consists of the normal isofibrations. Many examples arise in this way, and we show that such 2-cosmoi are minimal as Cauchycomplete 2-cosmoi. Finally, we investigate accessible 2-cosmoi and develop a few aspects of their basic theory.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.