Natural topologies on Colombeau algebras

Jorge Aragona, Roseli Fernandez, Stanley O. Juriaans
2009 Topological Methods in Nonlinear Analysis  
We define intrinsic, natural and metrizable topologies T Ω , T , T s,Ω and Ts in G(Ω), K, Gs(Ω) and Ks, respectively. The topology T Ω induces T , T s,Ω and Ts. The topologies T s,Ω and Ts coincide with the Scarpalezos sharp topologies.
doi:10.12775/tmna.2009.035 fatcat:wdh25r7u5jcffmb7tdhesm43lq