Isbell adjunctions and Kan adjunctions via quantale-enriched two-variable adjunctions
Category Theory
2024-08-16 v2
Abstract
It is shown that every two-variable adjunction in categories enriched in a commutative quantale serves as a base for constructing Isbell adjunctions between functor categories, and Kan adjunctions are precisely Isbell adjunctions constructed from suitable associated two-variable adjunctions. Representation theorems are established for fixed points of these adjunctions.
Cite
@article{arxiv.2102.09789,
title = {Isbell adjunctions and Kan adjunctions via quantale-enriched two-variable adjunctions},
author = {Lili Shen and Xiaoye Tang},
journal= {arXiv preprint arXiv:2102.09789},
year = {2024}
}
Comments
23 pages, final version