Abelian categories versus abelian 2-categories

Details Abelian categories versus abelian 2-categories Abelian categories versus abelian 2-categories

2008-09-21

arxiv.org/abs/0809.3575v3

Mathematics

Category Theory

Scientific paper

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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