Exactness of limits and colimits in abelian categories revisited

A. Argudín-Monroy, C. E. Parra

Let $\Sigma$ be a small category and $\mathcal{A}$ be a $\Sigma$-co-complete (resp. $\Sigma$-complete) abelian category. It is a well-known fact that the category $\operatorname{Fun}(Σ,\mathcal{A…