arXiv:1504.02596 Abstract | arXiv Analytics

arXiv:1504.02596 [math.DS]Abstract References Reviews Resources

Topological complexity, minimality and systems of order two on torus

Published 2015-04-10, updated 2015-04-14Version 2

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.

Comments: 17 pages, accepted for publication in SCIENCE CHINA Mathematics

DOI: 10.1007/s11425-015-5042-0

Categories: math.DS

Subjects: 37B05

Keywords: topological complexity, minimality, irrational rotation, group extension, maximal equicontinuous factor

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