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arXiv · 1504.02596

Topological complexity, minimality and systems of order two on torus

Yixiao Qiao
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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.

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Yixiao Qiao. 2015-04-10. Topological complexity, minimality and systems of order two on torus. https://doi.org/10.1007/s11425-015-5042-0

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