2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172637We announce a solution to several enumeration problems in topology of surfaces. This includes an enumeration of homotopy classes of sections of locally trivial fiber bundles over surfaces and a computation of non-abelian 1-cohomology of surfaces.16 pages, corrected typosGeometric Topology57R56, 20C25text