ON THE TWO-DIMENSIONAL VERSION OF THE SPERNER LEMMA AND BROUWER'S THEOREM

被引：0
|
作者：
Barcz, Eugeniusz [1 ]
机构：
[1] Univ Warmia & Mazury, Fac Math & Comp Sci, Chair Complex Anal, Sloneczna 54 St, PL-10710 Olsztyn, Poland
来源：
ANNALES MATHEMATICAE SILESIANAE | 2022年 / 36卷 / 02期
关键词：
Sperner's Lemma; Brouwer's theorem; retraction; fixed-point property;
D O I：
10.2478/amsil-2022-0012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work the Brouwer fixed point theorem for a triangle was proved by two methods based on the Sperner Lemma. One of the two proofs of Sperner's Lemma given in the paper was carried out using the so-called index.
引用
收藏
页码：106 / 114
页数：9
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