A remark on distributions and the de Rham theorem
Differential Geometry
2011-05-16 v1
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.
Cite
@article{arxiv.1105.2597,
title = {A remark on distributions and the de Rham theorem},
author = {Richard B. Melrose},
journal= {arXiv preprint arXiv:1105.2597},
year = {2011}
}
Comments
Written a decade ago, uploaded due to some current interest