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arXiv · 0809.3575

Abelian categories versus abelian 2-categories

Teimuraz Pirashvili
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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.

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Teimuraz Pirashvili. 2008-09-26. Abelian categories versus abelian 2-categories. https://arxiv.org/abs/0809.3575

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