Sigma-continuity with closed witnesses
Tom 239 / 2017
                    
                    
                        Fundamenta Mathematicae 239 (2017), 29-42                    
                                        
                        MSC: Primary 03E15, 26A21, 28A05, 54H05.                    
                                        
                        DOI: 10.4064/fm317-12-2016                    
                                            
                            Opublikowany online: 12 April 2017                        
                                    
                                                Streszczenie
We use variants of the $\mathbb {G}_0$ dichotomy to establish a refinement of Solecki’s basis theorem for the family of Baire-class one functions which are not $\sigma $-continuous with closed witnesses.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            