Borsuk-Ulam定理的推广及其在不动点理论中的应用

The Generalization of the Borsuk Ulam Theorem and Its Application in the Fixed Point Theorem

本文推广了点-点映照的Borsuk-Ulam定理到点-集映照的Borsuk-Ulam定理,并得到了相应结果。此外,还讨论了它在不动点理论中的应用。Borsuk-Ulam定理是拓扑学中一个重要的结果,可叙述如下：

In this paper, we extended the Borsuk-Ulam theorem of point-to-point map to one of the point-to-set map, and obtained the relative results. Furthermore, we discussed its application in the fixcd point theorem.