Lemma Poincaré for L_infty,loc - forms. arXiv:0712.1682
Preprint, arXiv:0712.1682 [math.DG] (2007).
Summary: 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.
MSC:
| 58A12 | de Rham theory in global analysis |
| 53C65 | Integral geometry |
| 46E35 | Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |
| 55N99 | Homology and cohomology theories in algebraic topology |
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