文献类型：期刊文献

中文题名：A Property of Continuous Mapping from a Sphere to the Euclidean Space and Its Applications

英文题名：A Property of Continuous Mapping from a Sphere to the Euclidean Space and Its Applications

作者：Yu Hong LIU[1]

机构：[1]College of Science, Guangdong Ocean University, Guangdong 524088, P. R. China

年份：2010

期号：2

起止页码：319

中文期刊名：数学研究与评论：英文版

收录：CSCD2011_2012、CSCD

语种：英文

中文关键词：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

外文关键词：Smith special index; fixed point free periodic transformation; equivariant mapping.

中文摘要：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.

外文摘要：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.