Borsuk—Ulam型定理的一种推广

A extension of Borsuk-Ulam type theorem

本文利用代数拓扑中的周期变换理论,把球面到欧氏空间的映射推广到球面到多个欧氏空间的乘积的映射的情形.

In this paper, the author makes a extension from a mapping of spherical space into Euclidean space to a mapping of spherical space into muti-Euclidean spaces product, by the cycle transformation theory of algebraic topology.