2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61526In this paper we study n-composition series of affine manifolds. One composition series are classified using gerbe theory. It is natural to think that n-composition series must be classified using n-gerbe theory. In the last section of this, we propose a notion of abelian n-gerbe theory30 pages, Gluing condition for objects is changedDifferential Geometrytext