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On the Two-Dimensional Version of the Sperner Lemma and Brouwer’s Theorem Cover

On the Two-Dimensional Version of the Sperner Lemma and Brouwer’s Theorem

By: Eugeniusz Barcz  
Open Access
|Sep 2022

Abstract

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.

DOI: https://doi.org/10.2478/amsil-2022-0012 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 106 - 114
Submitted on: Dec 29, 2021
Accepted on: Jul 20, 2022
Published on: Sep 8, 2022
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2022 Eugeniusz Barcz, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.