Statements (41)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:topology |
| gptkbp:application |
data analysis
finite element method topological data analysis mesh generation |
| gptkbp:canBe |
infinite
abstract finite geometric |
| gptkbp:component |
simplex
edge face vertex |
| gptkbp:definedIn |
a set of simplices that satisfies certain intersection properties
|
| gptkbp:dimensions |
maximum dimension of its simplices
|
| gptkbp:example |
nerve of a cover
triangulation of a surface |
| gptkbp:field |
gptkb:geometry
gptkb:topology combinatorics |
| gptkbp:generalizes |
gptkb:Polygon
graph |
| gptkbp:hasWikipediaPage |
https://en.wikipedia.org/wiki/Simplicial_complex
|
| gptkbp:heldBy |
chain complex
homology group cohomology group simplicial map |
| https://www.w3.org/2000/01/rdf-schema#label |
Simplicial complex
|
| gptkbp:property |
finite or infinite
closed under taking faces |
| gptkbp:relatedTo |
CW complex
abstract simplicial complex geometric realization |
| gptkbp:studiedBy |
gptkb:Henri_Poincaré
gptkb:J._H._C._Whitehead |
| gptkbp:used_in |
gptkb:cohomology_theory
gptkb:persistent_homology computational topology |
| gptkbp:bfsParent |
gptkb:Polytopes
|
| gptkbp:bfsLayer |
7
|