| 球面到球面的连续映射的微分拓扑度与代数拓扑度的关系以及应用 |
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| 引用本文： | 金亚东,施俊.球面到球面的连续映射的微分拓扑度与代数拓扑度的关系以及应用[J].江苏技术师范学院学报,2013(2):55-57. |
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| 作者姓名： | 金亚东 施俊 |
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| 作者单位： | 江苏理工学院 数理学院,江苏常州,213001 |
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| 摘 要： | 研究了球面到球面的连续映射f在微分拓扑的映射度等于在代数拓扑的映射度degAf。这就表明凡是与两种度中其中一种度有关的命题成立,那么与另一种度有关的命题也成立。在此结论下,给出了一些它的应用。
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| 关 键 词： | 微分拓扑的映射度 代数拓扑的映射度 Hopf分类定理 |
Relation and Application between Degree of Continuous Functions in Differential Topology and Degree in Algebraic Topology |
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| JIN Ya-dong
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SHI Jun.Relation and Application between Degree of Continuous Functions in Differential Topology and Degree in Algebraic Topology[J].Journal of Jiangsu Teachers University of Technology,2013(2):55-57. |
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| Authors: | JIN Ya-dong SHI Jun |
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| Institution: | (School of Mathematics and Physics,Jiangsu University of Technology, Changzhou 213001,China) |
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| Abstract: | |
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| Keywords: | degree of functions in differential topology degree of functions in algebraic topology Hopf classification theorem |
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