Abelian categories versus abelian 2-categories
Category Theory
2008-09-26 v3
Abstract
Recently Dupont proved that the categories of discrete and codiscrete (or connected) objects in an abelian 2-category are equivalent abelian categories. He posses also a question whether any abelian category comes in this way. We will give a rather trivial solution of this problem in the case when a given abelian category has enough projective or injective objects.
Cite
@article{arxiv.0809.3575,
title = {Abelian categories versus abelian 2-categories},
author = {Teimuraz Pirashvili},
journal= {arXiv preprint arXiv:0809.3575},
year = {2008}
}