Comparison of the definitions of Abelian 2-categories
Category Theory
2009-04-03 v2
Abstract
In the efforts to define a 2-categorical analog of an abelian category, two (or three) notions of "abelian 2-categories" are defined. One is the relatively exact 2-category, and the other(s) is the (2-)abelian Gpd-category. We compare these notions. Since they proceed independently in their own way, in different settings and terminologies, it will be worth while to collect and unify them. In this paper, by comparing their definitions and arguments, we show the relationship among these classes of 2-categories.
Keywords
Cite
@article{arxiv.0904.0078,
title = {Comparison of the definitions of Abelian 2-categories},
author = {Hiroyuki Nakaoka},
journal= {arXiv preprint arXiv:0904.0078},
year = {2009}
}
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8 pages