Topological complexity, minimality and systems of order two on torus
Dynamical Systems
2016-04-20 v2
Abstract
The dynamical system on T^2 which is a group extension over an irrational rotation on T^1 is investigated. The criterion when the extension is minimal, a system of order 2 and when the maximal equicontinuous factor is the irrational rotation is given. The topological complexity of the extension is computed, and a negative answer to the latter part of an open question raised by Host-Kra-Maass is obtained.
Keywords
Cite
@article{arxiv.1504.02596,
title = {Topological complexity, minimality and systems of order two on torus},
author = {Yixiao Qiao},
journal= {arXiv preprint arXiv:1504.02596},
year = {2016}
}
Comments
17 pages, accepted for publication in SCIENCE CHINA Mathematics