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

页码：106 / 114

页数：9

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