On turbulent relations
Tom 242 / 2018
                    
                    
                        Fundamenta Mathematicae 242 (2018), 207-245                    
                                        
                        MSC: Primary 03E15; Secondary 54H05, 54H20, 54E50.                    
                                        
                        DOI: 10.4064/fm309-9-2017                    
                                            
                            Opublikowany online: 6 April 2018                        
                                    
                                                Streszczenie
This paper extends the theory of turbulence of Hjorth to certain classes of equivalence relations that cannot be induced by Polish actions. The results are applied to analyze the quasi-isometry relation and finite Gromov–Hausdorff distance relation in the space of isometry classes of pointed proper metric spaces, called the Gromov space.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            