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
从球面到欧几里得空间的连续映射的性质及其应用
A Property of Continuous Mapping from a Sphere to the Euclidean Space and Its Applications
投稿时间:2008-04-06  修订日期:2009-01-05
DOI:10.3770/j.issn:1000-341X.2010.02.015
中文关键词:  Smith特殊指数  无定点周期变换  协变映射.
英文关键词:Smith special index  fixed point free periodic transformation  equivariant mapping.
基金项目:
作者单位
刘宇红 广东海洋大学理学院,广东 湛江524088 
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中文摘要:
      本文利用代数拓扑学中周期变换的理论,研究了从球面到欧几里得空间的连续映射的性质,得到了推广的Borsuk-Ulam定理,并且给出了它的应用.
英文摘要:
      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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