| 关于Lefschetz数的计算 |
| |
| 引用本文： | 李元熹.关于Lefschetz数的计算[J].复旦学报(自然科学版),1986(3). |
| |
| 作者姓名： | 李元熹 |
| |
| 作者单位： | 复旦大学统计运筹学系 |
| |
| 摘 要： | 本文给出了计算多面体到自身连续映射的Lefschetz数的一种新方法,可用于计算球面上连续映射的拓扑度,也可用来证明关于保径映射的Borsuk定理和Ky Fan的组合引理的等价性。其算法能方便有效地在计算机上实现。
|
| 关 键 词： | Lefschetz不动点定理 拓扑度 同调群 |
ON COMPUTATION OF LEFSCHETZ NUMBER |
| |
| Li Yuanxi.ON COMPUTATION OF LEFSCHETZ NUMBER[J].Journal of Fudan University(Natural Science),1986(3). |
| |
| Authors: | Li Yuanxi |
| |
| Institution: | Statistics and OR Dept. |
| |
| Abstract: | This paper describes a new approach to the computation of Lefschetz number for a continuous mapping from a polyhedron to itself. The method is thus applicable in computing the topological degree of a continuous mapping on a sphere as well as in proving the fact that Borsuk's Theorem (on preserving antipode mapping) is equivalent to Ky Fan's combinatorial Lemma. The algorithms introduced are easier and more efficient to implement on computers. |
| |
| Keywords: | Lefschetz fixed point theorem degree of topology homology group |
| 本文献已被 CNKI 等数据库收录！ |
