Accessible aspects of 2-category theory
Category Theory
2022-01-31 v1
Abstract
Categorical structures and their pseudomaps rarely form locally presentable 2-categories in the sense of Cat-enriched category theory. However, we show that if the categorical structure in question is sufficiently weak (such as the structure of monoidal, but not strict monoidal, categories) then the 2-category in question is accessible. Furthermore, we explore the flexible limits that such 2-categories possess and their interaction with filtered colimits.
Cite
@article{arxiv.2003.06375,
title = {Accessible aspects of 2-category theory},
author = {John Bourke},
journal= {arXiv preprint arXiv:2003.06375},
year = {2022}
}