Proto-exact categories and injective Banach modules
Category Theory
2026-03-10 v1 Functional Analysis
K-Theory and Homology
Abstract
We develop the basic theory of covers and envelopes in proto-exact categories. As an application, we prove the existence of enough injectives for categories of Banach modules over arbitrary Banach rings.
Cite
@article{arxiv.2603.07840,
title = {Proto-exact categories and injective Banach modules},
author = {Jack Kelly},
journal= {arXiv preprint arXiv:2603.07840},
year = {2026}
}
Comments
41 pages, comments very welcome!