Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
open covers
good covers |
| gptkbp:field |
gptkb:topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
nerve lemma
|
| gptkbp:namedAfter |
nerve of a cover
|
| gptkbp:relatedTo |
simplicial complexes
topological spaces |
| gptkbp:state |
the homotopy type of a space is equivalent to the homotopy type of the nerve of a good cover
|
| gptkbp:usedIn |
gptkb:persistent_homology
computational topology |
| gptkbp:bfsParent |
gptkb:Edelsbrunner-Harer_nerve_theorem
|
| gptkbp:bfsLayer |
7
|