On the Two-Dimensional Version of the Sperner Lemma and Brouwer’s Theorem
| Sep 08, 2022
About this article
Published Online: Sep 08, 2022
Page range: 106 - 114
Received: Dec 29, 2021
Accepted: Jul 20, 2022
DOI: https://doi.org/10.2478/amsil-2022-0012
Keywords
© 2022 Eugeniusz Barcz, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.