Statements (14)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:concerns | 
                                    
                                        
                                            
                                            f-vectors of convex polytopes
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:combinatorics
                                        
                                         polyhedral combinatorics  | 
                            
| gptkbp:provenBy | 
                                    
                                        
                                            gptkb:Carl_W._Lee
                                        
                                         gptkb:Louis_J._Billera  | 
                            
| gptkbp:publishedIn | 
                                    
                                        
                                            gptkb:Bulletin_of_the_American_Mathematical_Society
                                        
                                         | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:g-theorem
                                        
                                         McMullen's conditions  | 
                            
| gptkbp:state | 
                                    
                                        
                                            
                                            Every sequence satisfying McMullen's conditions is the f-vector of some convex polytope
                                        
                                        
                                         | 
                            
| gptkbp:yearProved | 
                                    
                                        
                                            
                                            1981
                                        
                                        
                                         | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Louis_Billera
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            7
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Billera–Lee theorem
                                        
                                        
                                         |