2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230368We generalize and clarify Gerstenhaber and Schack's "Special Cohomology Comparison Theorem". More specifically we obtain a fully faithful functor between the derived categories of bimodules over a prestack over a small category U and the derived category of bimodules over its corresponding fibered category. In contrast to Gerstenhaber and Schack we do not have to assume that U is a poset.17 pagesK-Theory and Homology16E40; 18D30text