|
|||||
|
|
Boundaries of rotation sets for homeomorphisms of the |
|
| Authors: | Richard Swanson Russell Walker |
| Institution: | Department of Mathematical Sciences, Montana State University, Bozeman, Montana 59717-024 ; Department of Mathematical Sciences, Montana State University, Bozeman, Montana 59717-024 |
| Abstract: | We construct a  diffeomorphism of the 3-torus whose rotation set is not closed. We prove that the rotation set of a homeomorphism of the  -torus contains the extreme points of its closed convex hull. Finally, we show that each pseudo-rotation set is closed for torus homeomorphisms. |
| Keywords: | Rotation vectors on tori |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 | |