On the Two-Dimensional Version of the Sperner Lemma and Brouwer’s Theorem
08 sept 2022
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Publicado en línea: 08 sept 2022
Páginas: 106 - 114
Recibido: 29 dic 2021
Aceptado: 20 jul 2022
DOI: https://doi.org/10.2478/amsil-2022-0012
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© 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.