Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
singular homology
|
| gptkbp:category |
theorem in topology
|
| gptkbp:field |
gptkb:topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Excision Theorem
|
| gptkbp:introducedIn |
20th century
|
| gptkbp:relatedTo |
gptkb:Mayer-Vietoris_sequence
gptkb:cohomology_theory gptkb:relative_homology |
| gptkbp:requires |
gptkb:topology
subspaces |
| gptkbp:state |
removing a suitably nice subset from a topological space does not change the relative homology
|
| gptkbp:usedIn |
computation of homology groups
proof of Mayer-Vietoris sequence |
| gptkbp:bfsParent |
gptkb:Singular_Homology_Theory
|
| gptkbp:bfsLayer |
7
|