Banach spaces and bilipschitz maps
Volume 103 / 1992
                    
                    
                        Studia Mathematica 103 (1992), 291-294                    
                                        
                        DOI: 10.4064/sm-103-3-291-294                    
                                    
                                                Abstract
We show that a normed space E is a Banach space if and only if there is no bilipschitz map of E onto E ∖ {0}.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            