A countable dense homogeneous space with a dense rigid open subspace
Volume 201 / 2008
                    
                    
                        Fundamenta Mathematicae 201 (2008), 91-98                    
                                        
                        MSC: Primary 57N20.                    
                                        
                        DOI: 10.4064/fm201-1-3                    
                                    
                                                Abstract
We show that there is a Polish space which is countable dense homogeneous but contains a dense open rigid connected subset. This answers several questions of Fitzpatrick and Zhou.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            