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arxiv: math-ph/0102016 · v1 · submitted 2001-02-15 · 🧮 math-ph · math.DG· math.MP

Remark on the Serre-Swan theorem for non-compact manifolds

classification 🧮 math-ph math.DGmath.MP
keywords manifoldsnon-compactserre-swantheorembundlescompactdiscussedextension
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The Serre-Swan theorem provides the link between projective modules of finite rank and vector bundles over compact manifolds, and plays a prominent role in non-commutative geometry. Its extension to non-compact manifolds is discussed.

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