Abstract
AbstractLet R be a unital topological ring whose set of invertible elements is open and inversion is continuous, and let X be a compact Hausdorff space admitting continuous R‐valued partitions of unity. Considering bundles over X of fibre type a projective finitely generated R‐module, we prove a Serre‐Swan type theorem: namely, the category of these bundles is equivalent to the category of projective finitely generated modules over the ring of continuous R‐valued functions on X.
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