A Proof of Brouwer’s Fixed Point Theorem Using Sperner’s Lemma  

作　　者：Cassie Lu 

机构地区：[1]National Mathematics and Science College

出　　处：《数学计算（中英文版）》2023年第2期1-6,共6页Mathematical Computation

基　　金：by Dr Kemp from National Mathematics and Science College.

摘　　要：This article offers a simple but rigorous proof of Brouwer’s fixed point theorem using Sperner’s Lemma.The general method I have used so far in the proof is mainly to convert the n-dimensional shapes to the corresponding case under the Sperner’s Labeling and apply the Sperner’s Lemma to solve the question.

关 键 词：Brouwer’s Fixed Point Theorem Sperner’s Lemma PROOF 

分 类 号：O17[理学—数学]