<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On the Two-Dimensional Version of the Sperner Lemma and Brouwer\u2019s Theorem"}

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...

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

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
Sperner’s Lemma, Brouwer’s theorem, retraction, fixed-point property

© 2022 Eugeniusz Barcz, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

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

KeywordsSperner’s Lemma, Brouwer’s theorem, retraction, fixed-point property

© 2022 Eugeniusz Barcz, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Sperner’s Lemma, Brouwer’s theorem, retraction, fixed-point property