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arxiv: math/0312487 · v2 · submitted 2003-12-29 · 🧮 math.FA · math.DG

Non-smooth differential geometry and algebras of generalized functions

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keywords algebrasdifferentialfunctionsgeneralizedgeometrynon-smoothapplicationsapproach
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Algebras of generalized functions offer possibilities beyond the purely distributional approach in modelling singular quantities in non-smooth differential geometry. This article presents an introductory survey of recent developments in this field and highlights some applications in mathematical physics.

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