Partial square at $\omega _1$ is implied by MM but not by PFA
Volume 215 / 2011
                    
                    
                        Fundamenta Mathematicae 215 (2011), 109-131                    
                                        
                        MSC: Primary 03E05; Secondary 03E50.                    
                                        
                        DOI: 10.4064/fm215-2-2                    
                                    
                                                Abstract
We prove the results stated in the title.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            