Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:cohomology_theory
|
| gptkbp:appliesTo |
topological space X and subspace A
|
| gptkbp:category |
gptkb:mathematics
|
| gptkbp:describes |
homology classes of chains in X modulo A
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:generalizes |
singular homology
|
| https://www.w3.org/2000/01/rdf-schema#label |
relative homology
|
| gptkbp:introduced |
gptkb:Henri_Poincaré
|
| gptkbp:notation |
H_n(X, A)
|
| gptkbp:relatedTo |
long exact sequence of homology
|
| gptkbp:studies |
pairs of topological spaces
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:Mayer-Vietoris_sequence differential topology manifold theory excision theorem |
| gptkbp:uses |
chain complexes
boundary operators |
| gptkbp:bfsParent |
gptkb:Poincaré–Lefschetz_duality
|
| gptkbp:bfsLayer |
6
|