Natural Topologies on Colombeau Algebras
  We 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. 
J. Aragona, R. Fernandez, S. O. Juriaans