Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
smooth manifolds
|
| gptkbp:field |
gptkb:topology
differential geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
de Rham theorem
|
| gptkbp:implies |
integration of differential forms determines cohomology classes
|
| gptkbp:namedAfter |
gptkb:Georges_de_Rham
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
cohomology
differential forms |
| gptkbp:state |
the de Rham cohomology of a smooth manifold is isomorphic to its singular cohomology with real coefficients
|
| gptkbp:usedIn |
gptkb:topology
gptkb:Hodge_theory differential topology |
| gptkbp:yearProved |
1931
|
| gptkbp:bfsParent |
gptkb:Georges_de_Rham
gptkb:de_Rham_cohomology |
| gptkbp:bfsLayer |
6
|