Statements (18)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:Set_theory_concept
                                        
                                         | 
                            
| gptkbp:citation | 
                                    
                                        
                                            
                                            Shelah, Saharon. Proper Forcing. Lecture Notes in Mathematics, 940. Springer, 1982.
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:Mathematics
                                        
                                         gptkb:Set_theory  | 
                            
| gptkbp:hasProperty | 
                                    
                                        
                                            
                                            Does not collapse ω₁
                                        
                                        
                                         Preserves countable elementary submodels  | 
                            
| gptkbp:introduced | 
                                    
                                        
                                            gptkb:Saharon_Shelah
                                        
                                         | 
                            
| gptkbp:introducedIn | 
                                    
                                        
                                            
                                            1978
                                        
                                        
                                         | 
                            
| gptkbp:preserves | 
                                    
                                        
                                            
                                            Stationary subsets of ω₁
                                        
                                        
                                         ω₁  | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:Martin's_Axiom
                                        
                                         gptkb:Axiom_of_choice Forcing Countable support iteration  | 
                            
| gptkbp:usedFor | 
                                    
                                        
                                            
                                            Consistency results in set theory
                                        
                                        
                                         | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Saharon_Shelah
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            6
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Proper Forcing
                                        
                                        
                                         |