2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162056In this paper we prove that any Riemannian surface, with no restriction of curvature at all, can be decomposed into blocks belonging just to some of these types: generalized Y-pieces, generalized funnels and halfplanes.15 pages, 1 latex file, 7 eps figuresDifferential GeometryMetric Geometry41A10, 46E35, 46G10Structure Theorem for Riemannian surfaces with arbitrary curvaturetext