Lax Functors, Cospans, and the Center Construction
Category Theory
2022-10-25 v3 Rings and Algebras
Abstract
The center construction is not (classically) functorial. In this note, we specialize a universal construction of Jacob Lurie to the category of rings and upgrade the classical center to a lax functor. In particular, we find lax functors to the Morita category and the category of cospans.
Cite
@article{arxiv.2109.03122,
title = {Lax Functors, Cospans, and the Center Construction},
author = {Ryan E. Grady and Garrett Oren},
journal= {arXiv preprint arXiv:2109.03122},
year = {2022}
}
Comments
V3: Final, title change (to be more descriptive)