Statements (19)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:alsoKnownAs | 
                                    
                                        
                                            
                                            weak Kan complex
                                        
                                        
                                         | 
                            
| gptkbp:appearsIn | 
                                    
                                        
                                            gptkb:Higher_Topos_Theory
                                        
                                         Homotopy theory  | 
                            
| gptkbp:doesNotNecessarilySatisfy | 
                                    
                                        
                                            
                                            outer horn filling condition
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:category_theory
                                        
                                         | 
                            
| gptkbp:formalizedAs | 
                                    
                                        
                                            
                                            simplicial set
                                        
                                        
                                         | 
                            
| gptkbp:generalizes | 
                                    
                                        
                                            gptkb:dictionary
                                        
                                         Kan complex  | 
                            
| gptkbp:hasProperty | 
                                    
                                        
                                            
                                            models higher categories
                                        
                                        
                                         | 
                            
| gptkbp:introduced | 
                                    
                                        
                                            gptkb:André_Joyal
                                        
                                         | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            
                                            ([1m∞,1[0m)-category
                                        
                                        
                                         | 
                            
| gptkbp:satisfies | 
                                    
                                        
                                            
                                            inner horn filling condition
                                        
                                        
                                         | 
                            
| gptkbp:studiedBy | 
                                    
                                        
                                            gptkb:Jacob_Lurie
                                        
                                         | 
                            
| gptkbp:usedIn | 
                                    
                                        
                                            
                                            higher category theory
                                        
                                        
                                         | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:∞-categories
                                        
                                         gptkb:Higher_category_theory  | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            8
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            quasi-category
                                        
                                        
                                         |