Variations on the concept of topological transitivity
Volume 235 / 2016
                    
                    
                        Studia Mathematica 235 (2016), 225-249                    
                                        
                        MSC: Primary 37B05; Secondary 37B20, 54H20.                    
                                        
                        DOI: 10.4064/sm8553-7-2016                    
                                            
                            Published online: 24 November 2016                        
                                    
                                                Abstract
We describe various strengthenings of the concept of topological transitivity. Especially when one departs from the family of invertible systems, a number of interesting properties arise. We present the architecture of implications among ten reasonable notions of transitivity.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            