A Note on Double Minimality  

作　　者：Wen Huang Xiangdong Ye 

机构地区：[1]Wu Wen-Tsun Key Laboratory of Mathematics,USTC,Chinese Academy of Sciences and School of Mathematics,University of Science and Technology of China,Hefei 230026,Anhui,People’s Republic of China

出　　处：《Communications in Mathematics and Statistics》2015年第1期57-61,共5页数学与统计通讯（英文）

基　　金：Authors are supported by NNSF of China 11225105,11371339 and 11431012.

摘　　要：It is known that a minimal prime system is either a subshift or with a connected phase space(Keynes and Newton TransAmMath Soc 217:237-255,1976).We show that a double minimal system is a subshift;this implies immediately that no non-periodic map has 4-fold topological minimal self-joinings.We also prove that a POD system is either uniformly rigid or is a subshift.

关 键 词：Double minimal POD Uniformly rigid 

分 类 号：O18[理学—数学]