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

Eugeniusz Barcz

Eugeniusz Barcz

University of Warmia and Mazury, Faculty of Mathematics and Computer Science, Chair of Complex AnalysisOlsztyn, Poland
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Barcz, Eugeniusz
  
Sep 08, 2022
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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.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics
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