Edelsbrunner-Harer nerve theorem
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
good covers
|
| gptkbp:field |
gptkb:geometry
gptkb:topology |
| gptkbp:generalizes |
gptkb:nerve_lemma
|
| https://www.w3.org/2000/01/rdf-schema#label |
Edelsbrunner-Harer nerve theorem
|
| gptkbp:namedAfter |
gptkb:Herbert_Edelsbrunner
gptkb:John_Harer |
| gptkbp:publicationYear |
1995
|
| gptkbp:publishedIn |
gptkb:Discrete_&_Computational_Geometry
|
| gptkbp:relatedTo |
gptkb:homotopy_equivalence
gptkb:Čech_complex nerve of a cover |
| gptkbp:state |
If a collection of sets forms a good cover, then the nerve of the cover has the same homotopy type as the union of the sets.
|
| gptkbp:bfsParent |
gptkb:Herbert_Edelsbrunner
|
| gptkbp:bfsLayer |
6
|