摘要
Let S<sup>α</sup> be the α-dimensional standard sphere in （α+1）-dimensional Euclidean space R<sup>α+1</sup>. The classical Borsuk-Ulam theorem asserts that if there exists a continuous map f: S<sup>m</sup>→S<sup>n</sup>, such that f（-x） = -f（x） is satisfied for all x∈S<sup>m</sup>, then m≤n.
