Natural Topologies on Colombeau Algebras
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topologiesalgebrascolombeaunaturalalgebraicappearapplicationscompatible
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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.
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