| 关于曲面自映射的Reidemeister迹 |
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| 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 |
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| 作者姓名： | 萧伯骥 |
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| 作者单位： | 北京理工大学应用数学系 |
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| 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。
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| 关 键 词： | 曲面自映射 不动点类 |
ON THE REIDEMEISTER TRACE OF THE SELFMAPPING OF CLOSED SURFACE |
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| 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 |
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| Authors: | Xiao Boji |
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| Affiliation: | Department of Applied Mathematics |
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| 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 . |
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| Keywords: | CW complex universal covering space / Reidemeister trace class of fixed points Nielsen number cellular approximation . |
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