A construction of certain weak colimits and an exactness property of the 2-category of categories

M. E. Descotte, E. J. Dubuc, M. Szyld

Given a 2-category $\mathcal{A}$, a $2$-functor $\mathcal{A}\stackrel{F}{⟶}\mathcal{C}at$ and a distinguished 1-subcategory $\Sigma \subset \mathcal{A}$ containing all t…