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arxiv: 0712.1682 · v1 · submitted 2007-12-11 · 🧮 math.DG · math.FA

Lemma Poincar\'e for L_infty,loc - forms

classification 🧮 math.DG math.FA
keywords inftyclosedconstructionscurrentsdifferentialeveryexactexplicit
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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.

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