| 关于曲面自映射的Reidemeister迹 |
| |
| 引用本文： | 萧伯骥.关于曲面自映射的Reidemeister迹[J].北京理工大学学报,1989,9(4):82-87. |
| |
| 作者姓名： | 萧伯骥 |
| |
| 作者单位： | 北京理工大学应用数学系 |
| |
| 摘 要： | 1981年4月,Fadell提出了曲面自映射提升的Reidemeister迹的一个公式,没有给出证明。本文给出了Fadell公式的证明。构造出上述自映射的一个特殊的胞腔式逼近,并应用群环的Fox运算的性质。
|
| 关 键 词： | 曲面自映射 不动点类 |
ON THE REIDEMEISTER TRACE OF THE SELFMAPPING OF CLOSED SURFACE |
| |
| Xiao Boji.ON THE REIDEMEISTER TRACE OF THE SELFMAPPING OF CLOSED SURFACE[J].Journal of Beijing Institute of Technology(Natural Science Edition),1989,9(4):82-87. |
| |
| Authors: | Xiao Boji |
| |
| Institution: | Department of Applied Mathematics |
| |
| Abstract: | Fadell proposed without proof a formula of the Reidmeister trace of the covering mapping of closed surface in April, 1981 - The proof of the Fa-dell's formula is given . The author in proving the formula constructs a particular cellular approximation of the selfmapping mentioned above and applies the property of the Fox calculus of the group ring . |
| |
| Keywords: | CW complex universal covering space / Reidemeister trace class of fixed points Nielsen number cellular approximation |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《北京理工大学学报》浏览原始摘要信息 |
| 点击此处可从《北京理工大学学报》下载免费的PDF全文 |
