A remark on distributions and the de Rham theorem

Richard B. Melrose

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arXiv · 1105.2597

A remark on distributions and the de Rham theorem

Richard B. Melrose

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Abstract

We show that the de Rham theorem, interpreted as the isomorphism between distributional de Rham cohomology and simplicial homology in the dual dimension for a simplicial decomposition of a compact oriented manifold, is a straightforward consequence of elementary properties of currents. The explicit construction of this isomorphism extends to other cases, such as relative and absolute cohomology spaces of manifolds with corners.

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Richard B. Melrose. 2011-05-13. A remark on distributions and the de Rham theorem. https://arxiv.org/abs/1105.2597

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