A relative monotone-light factorisation system for internal groupoids

Alan S. Cigoli, Tomas Everaert, Marino Gran

Given an exact category $\mathcal{C}$, it is well known that the connected component reflector ${\pi }_0:\mathsf{Gpd}(\mathcal{C})\to \mathcal{C}$ from the category $\mathsf{Gpd}(\m…