球面上连续映射的一些新结果

摘要

In this article, we study the property of continuous mappings from a sphere to the Euclidean 8pace. By using the Brouwer degree of mapping theorem and the elementary methods of differential topology, the Borsuk-Ulam type theorem is obtained, and which generalizes the Borsuk-Ulem theorem.%本文研究了从球面到欧氏空间连续映射的性质.利用Brouwer映射度理论和微分拓扑的基本方法,获得了 Borsuk-Ulam型定理,推广了Borsuk-Ulam定理.