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.