Author: Antonio Dmaz Ramos Title: A local method for integral cohomology of posets Abstract: We present a method to compute integral cohomology of posets. This toolbox is applicable as soon as the sub-posets under each object possess certain structure. This is the case for simplicial complexes, simplex-like posets and for Quillen's complex of a finite group. The method is based on homological algebra arguments in the category of functors.