Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:describes |
face numbers of simplicial convex polytopes
|
| gptkbp:field |
gptkb:mathematics
convex geometry polyhedral combinatorics |
| https://www.w3.org/2000/01/rdf-schema#label |
g-theorem
|
| gptkbp:proposedBy |
gptkb:Peter_McMullen
|
| gptkbp:provenBy |
gptkb:Louis_Billera
gptkb:Richard_Stanley gptkb:Carl_W._Lee |
| gptkbp:relatedTo |
gptkb:simplicial_polytope
convex polytope f-vector h-vector |
| gptkbp:state |
A sequence is the f-vector of a simplicial convex d-polytope if and only if it satisfies certain linear inequalities and equalities (the Dehn–Sommerville equations) and the g-conditions.
|
| gptkbp:yearProposed |
1971
|
| gptkbp:yearProved |
1980
|
| gptkbp:bfsParent |
gptkb:Billera–Lee_theorem
|
| gptkbp:bfsLayer |
8
|