2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163653We define natural topologies on the Colombeau algebras which are compatible with the algebraic structure. These topologies reduces do Scarpalezos sharp topologies when restricted. with this we take a positive step towards topological methods of solving P.D. Equations in Colombeau algebras. Applications will appear elsewhere.20 pagesFunctional AnalysisAnalysis of PDEs46F30text