On the Two-Dimensional Version of the Sperner Lemma and Brouwer’s Theorem
| 08 sept. 2022
À propos de cet article
Publié en ligne: 08 sept. 2022
Pages: 106 - 114
Reçu: 29 déc. 2021
Accepté: 20 juil. 2022
DOI: https://doi.org/10.2478/amsil-2022-0012
Mots clés
© 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.