
arXiv: 1601.05614
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.
Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), topological transitivity, exact systems, locally eventually onto, Dynamical Systems (math.DS), strong transitivity, Topological dynamics, FOS: Mathematics, Notions of recurrence and recurrent behavior in topological dynamical systems, noninvertible dynamical systems, Mathematics - Dynamical Systems
Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), topological transitivity, exact systems, locally eventually onto, Dynamical Systems (math.DS), strong transitivity, Topological dynamics, FOS: Mathematics, Notions of recurrence and recurrent behavior in topological dynamical systems, noninvertible dynamical systems, Mathematics - Dynamical Systems
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