2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61958In this paper we propose a higher non abelian cohomology theory without using the notion of n-category. We use this to study compositions series of affine manifolds and cohomology of manifolds.18 pages, frenchCategory TheoryCohomologie non abelienne d'ordre superieur et applicationstext