2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79491The classification problem for principal fibre bundles over two-dimensional CW-complexes is considered. Using the Postnikov factorization for the base space of a universal bundle a Puppe sequence that gives an implicit solution for the classification problem is constructed. In cases, when the structure group $G$ is path-connected or $π_{1}(G) = 0$, the classification can be given in terms of cohomology groups.28 pages, Latex, to be published in the Proceedings of the Meeting "New Developments in Algebraic Topology" (July 13-14, 1998, Faro, Portugal)Algebraic TopologyHigh Energy Physics - Theory55R15 (Primary) 81T13 (Secondary)text