|
|||||
|
|
Rotation topological factors of minimal  -actions on the Cantor set |
|
| Authors: | Maria Isabel Cortez Jean-Marc Gambaudo Alejandro Maass |
| Institution: | Departamento de Ingeniería Matemática, Fac. Ciencias Físicas y Matemáticas, Universidad de Chile, Av. Blanco Encalada 2120 5to piso, Santiago, Chile -- and -- Institut de Mathématiques de Bourgogne, U.M.R. CNRS 5584, Université de Bourgogne, U.F.R. des Sciences et Téchniques, B.P. 47870- 21078 Dijon Cedex, France ; Centro de Modelamiento Matemático, U.M.R. CNRS 2071, Av. Blanco Encalada 2120, 7to piso, Santiago, Chile ; Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático, Fac. Ciencias Físicas y Matemáticas, Universidad de Chile, Av. Blanco Encalada 2120 5to piso, Santiago, Chile |
| Abstract: | In this paper we study conditions under which a free minimal  -action on the Cantor set is a topological extension of the action of  rotations, either on the product  of   -tori or on a single  -torus  . We extend the notion of linearly recurrent systems defined for  -actions on the Cantor set to  -actions, and we derive in this more general setting a necessary and sufficient condition, which involves a natural combinatorial data associated with the action, allowing the existence of a rotation topological factor of one of these two types. |
| Keywords: | Minimal Cantor free actions linearly recurrent systems rotation factors |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文 | |