A generalization of Serre-Swan-Mallios Theorem for the category epsilon(A) (X) of A-module bundles, with X a topological space and A a Waelbroeck algebra, is given together with an overview of the development of theorems by Serre and Swan to Serre-Swan-Mallios Theorem and of relevant results leading to the present generalization.
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Max Planck Institute for Mathematics, Vivatsgasse 7, Bonn,53111, GermanyMax Planck Institute for Mathematics, Vivatsgasse 7, Bonn,53111, Germany
Lin, Xun
Zhang, Shizhuo
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Max Planck Institute for Mathematics, Vivatsgasse 7, Bonn,53111, Germany
Institut de Mathématiqes de Toulouse, UMR 5219, Université de Toulouse, Université Paul Sabatier, 118 route de Narbonne, Toulouse,31062 Cedex 9, FranceMax Planck Institute for Mathematics, Vivatsgasse 7, Bonn,53111, Germany