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 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.展开更多
基金supported by NSFC(No.11001071,No.11171320)the Fundamental Research Funds for the Central Universities(No.2011HGCX1080,No.WK0010000014,No.WK0010000015)
基金National Natural Science Foundation of China (Grant Nos. 11225105 and 11371339)
文摘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.
