Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:cohomology_theory |
| gptkbp:appliesTo |
topological spaces
sheaves |
| gptkbp:canDifferFrom |
sheaf cohomology on non-paracompact spaces
|
| gptkbp:category |
gptkb:topology
homological algebra |
| gptkbp:coexistedWith |
sheaf cohomology on paracompact spaces
|
| gptkbp:definedIn |
nerve of a cover
open covers |
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:topology |
| gptkbp:generalizes |
simplicial cohomology
|
| gptkbp:heldBy |
gptkb:cohomology_theory
contravariant functor functorial |
| https://www.w3.org/2000/01/rdf-schema#label |
Čech cohomology
|
| gptkbp:introducedIn |
1930s
|
| gptkbp:namedAfter |
gptkb:Eduard_Čech
|
| gptkbp:notation |
3Cech^n(X, A)
|
| gptkbp:relatedTo |
gptkb:Alexander-Spanier_cohomology
singular cohomology sheaf cohomology |
| gptkbp:usedFor |
computing cohomology of topological spaces
studying sheaf cohomology |
| gptkbp:bfsParent |
gptkb:Sheaf_cohomology
gptkb:Étale_cohomology gptkb:Cohomology gptkb:Sheaf_theory gptkb:Kohomologie |
| gptkbp:bfsLayer |
6
|