Monotonicity of maximal equicontinuous factors and an application to toral flows
Dynamical Systems
2017-11-16 v1
Abstract
We show that for group actions on locally connected spaces the maximal equicontinuous factor map is always monotone, that is, the preimages of single points are connected. As an application, we obtain that if the maximal continuous factor of a homeomorphism of the two-torus is minimal, then it is either (i) an irrational translation of the two-torus, (ii) an irrational rotation on the circle or (iii) the identity on a singleton.
Keywords
Cite
@article{arxiv.1711.05672,
title = {Monotonicity of maximal equicontinuous factors and an application to toral flows},
author = {Till Hauser and Tobias Jäger},
journal= {arXiv preprint arXiv:1711.05672},
year = {2017}
}
Comments
11 pages