Lemma Poincaré for L_infty,loc - forms

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We show that every closed L_infty,loc - form on R^n is exact. Differential is understood in the sense of currents. The proof does not use any explicit geometric constructions. De Rham theorem follows.
6 pages

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Differential Geometry, Functional Analysis, 58A12, 53C65 (Primary); 46E35, 55N99 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/143990

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.1682
 http://arxiv.org/abs/0712.1682

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arXiv