English

Variations on the Concept of Topological Transitivity

Dynamical Systems 2016-01-22 v1

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.

Keywords

Cite

@article{arxiv.1601.05614,
  title  = {Variations on the Concept of Topological Transitivity},
  author = {Ethan Akin and Joseph Auslander and Anima Nagar},
  journal= {arXiv preprint arXiv:1601.05614},
  year   = {2016}
}