Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
CW complex |
| gptkbp:application |
data analysis
shape reconstruction |
| gptkbp:defines |
A Čech complex is a simplicial complex constructed from a set of points and a fixed radius, where a simplex is included if the corresponding closed balls have a non-empty intersection.
|
| gptkbp:field |
gptkb:topology
computational topology |
| gptkbp:generalizes |
nerve of a cover
|
| https://www.w3.org/2000/01/rdf-schema#label |
Čech complex
|
| gptkbp:introducedIn |
20th century
|
| gptkbp:namedAfter |
gptkb:Eduard_Čech
|
| gptkbp:property |
homotopy equivalent to the union of balls
|
| gptkbp:relatedTo |
gptkb:Vietoris–Rips_complex
nerve of a cover |
| gptkbp:usedIn |
gptkb:persistent_homology
topological data analysis |
| gptkbp:bfsParent |
gptkb:CW_complex
|
| gptkbp:bfsLayer |
6
|