Английская Википедия:Gelfand–Fuks cohomology
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In mathematics, Gelfand–Fuks cohomology, introduced in Шаблон:Harv, is a cohomology theory for Lie algebras of smooth vector fields. It differs from the Lie algebra cohomology of Chevalley-Eilenberg in that its cochains are taken to be continuous multilinear alternating forms on the Lie algebra of smooth vector fields where the latter is given the <math>C^{\infty}</math> topology.
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