Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:cohomology_theory |
| gptkbp:appliesTo |
smooth manifolds
|
| gptkbp:category |
differential topology
homological algebra |
| gptkbp:coefficients |
complex numbers
real numbers |
| gptkbp:computes |
cohomology groups
|
| gptkbp:describes |
topological invariants of smooth manifolds
|
| gptkbp:field |
gptkb:topology
differential geometry |
| gptkbp:generalizes |
gptkb:Dolbeault_cohomology
gptkb:algebraic_de_Rham_cohomology |
| gptkbp:hasApplication |
gptkb:gauge_theory
gptkb:Hodge_theory mathematical physics symplectic geometry |
| gptkbp:heldBy |
functor from category of smooth manifolds to graded vector spaces
|
| https://www.w3.org/2000/01/rdf-schema#label |
De Rham cohomology
|
| gptkbp:introducedIn |
1930s
|
| gptkbp:namedAfter |
gptkb:Georges_de_Rham
|
| gptkbp:relatedTo |
gptkb:de_Rham_theorem
gptkb:Poincaré_lemma singular cohomology |
| gptkbp:uses |
differential forms
|
| gptkbp:bfsParent |
gptkb:Sheaf_cohomology
gptkb:Cohomology |
| gptkbp:bfsLayer |
6
|