Topological complexity, minimality and systems of order two on torus  

作　　者：qiao yi xiao 

机构地区：[1]School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China

出　　处：《Science China Mathematics》2016年第3期503-514,共12页中国科学：数学（英文版）

基　　金：National Natural Science Foundation of China (Grant Nos. 11225105 and 11371339)

摘　　要：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 et al.(2014) is obtained.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 et al.（2014） is obtained.

关 键 词：topological complexity minimality 2-step nilsystem 

分 类 号：O19[理学—数学]