Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:exact_sequence |
| gptkbp:appliesTo |
gptkb:de_Rham_cohomology
sheaf cohomology simplicial homology singular homology union of two subspaces |
| gptkbp:describes |
relationship between homology of spaces and their subspaces
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:firstPublished |
1929
|
| gptkbp:generalizes |
inclusion-exclusion principle
|
| gptkbp:namedAfter |
gptkb:Leopold_Vietoris
gptkb:Waldo_Mayer |
| gptkbp:relatedTo |
gptkb:Seifert–van_Kampen_theorem
excision theorem |
| gptkbp:type |
long exact sequence
|
| gptkbp:used_in |
gptkb:cohomology_theory
|
| gptkbp:usedFor |
computing cohomology groups
computing homology groups |
| gptkbp:bfsParent |
gptkb:Algebraic_topology
gptkb:Algebraic_Topology gptkb:de_Rham_cohomology_(in_characteristic_zero) gptkb:relative_homology gptkb:higher_algebraic_K-groups |
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mayer-Vietoris sequence
|