A remark on distributions and the de Rham theorem

Details A remark on distributions and the de Rham theorem A remark on distributions and the de Rham theorem

2011-05-13

arxiv.org/abs/1105.2597v1

Mathematics

Differential Geometry

Written a decade ago, uploaded due to some current interest

Scientific paper

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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