| 从球面到欧几里得空间的连续映射的性质及其应用 |
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| 引用本文： | 刘宇红.从球面到欧几里得空间的连续映射的性质及其应用[J].数学研究及应用,2010,30(2):319-322. |
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| 作者姓名： | 刘宇红 |
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| 作者单位： | 广东海洋大学理学院,广东 湛江524088 |
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| 摘 要： | In this paper, we study the property of continuous mappings from a sphere to the Euclidean space. By using the theory of the periodic transformation in algebraic topology, we obtain a generalized Borsuk-Ulam theorem and then give some applications of the theorem.
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| 关 键 词： | 欧氏空间 连续映射 应用 性能 代数拓扑学 变换理论 定理 球面 |
| 收稿时间： | 4/6/2008 12:00:00 AM |
| 修稿时间： | 1/5/2009 12:00:00 AM |
A Property of Continuous Mapping from a Sphere to the Euclidean Space and Its Applications |
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| Yu Hong LIU.A Property of Continuous Mapping from a Sphere to the Euclidean Space and Its Applications[J].Journal of Mathematical Research with Applications,2010,30(2):319-322. |
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| Authors: | Yu Hong LIU |
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| Institution: | College of Science,Guangdong Ocean University,Guangdong 524088,P.R.China |
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| Abstract: | In this paper, we study the property of continuous mappings from a sphere to the Euclidean space. By using the theory of the periodic transformation in algebraic topology, we obtain a generalized Borsuk-Ulam theorem and then give some applications of the theorem. |
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| Keywords: | Smith special index fixed point free periodic transformation equivariant mapping |
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