Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:cohomology_theory
|
| gptkbp:appliesTo |
topological spaces
|
| gptkbp:category |
homological algebra
|
| gptkbp:coefficientsIn |
abelian group
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:functor |
contravariant
|
| gptkbp:generalizes |
gptkb:Čech_cohomology
gptkb:de_Rham_cohomology |
| https://www.w3.org/2000/01/rdf-schema#label |
Singular cohomology
|
| gptkbp:introduced |
gptkb:Samuel_Eilenberg
gptkb:Norman_Steenrod |
| gptkbp:introducedIn |
1940s
|
| gptkbp:notation |
H^n(X, A)
|
| gptkbp:output |
cohomology groups
|
| gptkbp:relatedTo |
singular homology
|
| gptkbp:satisfies |
gptkb:Eilenberg–Steenrod_axioms
|
| gptkbp:usedFor |
classification of vector bundles
cup product topological invariants cohomological operations |
| gptkbp:uses |
singular simplices
|
| gptkbp:bfsParent |
gptkb:Etale_cohomology
gptkb:Sheaf_cohomology gptkb:Cohomology |
| gptkbp:bfsLayer |
6
|