| 球面上的点在连续映射下的性质 |
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| 引用本文： | 刘宇红,付军.球面上的点在连续映射下的性质[J].数学研究及应用,1998,18(3):422-424. |
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| 作者姓名： | 刘宇红 付军 |
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| 作者单位： | 吉林农业大学;四平师范学院 |
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| 摘 要： | 本文应用Ｓｍｉｔｈ周期变换理论，根据球面在周期变换下的指数，对球面上的点在连续映射下的性质作了进一步探讨，从而丰富了Ｂｏｒｓｕｋ-Ｕｌａｍ定理．
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| 关 键 词： | Smith特殊指数 周期变换 协变映射 |
The Property of the Point on Sphere Under Continuous Mapping |
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| Liu Yuhong and Fu Jun.The Property of the Point on Sphere Under Continuous Mapping[J].Journal of Mathematical Research with Applications,1998,18(3):422-424. |
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| Authors: | Liu Yuhong and Fu Jun |
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| Abstract: | The property of the point on sphere under continuous mapping is discussed with Smith cycle transformation theory and the index under cycle transformation on sphere. Then the Borsuk Ulam theorem is extended widely. |
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| Keywords: | Smith specical index cycle transformation covariant map |
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