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

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

Annales Mathematicae Silesianae
Volume 36 (2022): Issue 2 (September 2022)
By: Eugeniusz Barcz  
Open Access
|Sep 2022
References

References

  1. [1] E. Barcz, Local versions of Banach principle, their generalizations and applications, in: A. Lecko (ed.), Courrent Research in Mathematical and Computer Sciences, Wydawnictwo UWM, Olsztyn, 2017, pp. 41–53.
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  2. [2] J. Milnor, Analytic proofs of the “Hairy Ball Theorem” and the Brouwer Fixed Point Theorem, Amer. Math. Monthly 85 (1978), no. 7, 521–524.
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  3. [3] Yu.A. Shashkin, Fixed Points, Mathematical World, 2, AMS, Providence & MAA, Washington, 1991.10.1090/mawrld/002
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  4. [4] D. Violette, Applications du lemme de Sperner pour les triangles, Bulletin AMQ 46 (2006), no. 4, 12–19.
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DOI: https://doi.org/10.2478/amsil-2022-0012 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
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Language: English
Page range: 106 - 114
Submitted on: Dec 29, 2021
Accepted on: Jul 20, 2022
Published on: Sep 8, 2022
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
Sperner’s Lemma,
Brouwer’s theorem,
retraction,
fixed-point property
Related subjects:
Mathematics,
General mathematics

© 2022 Eugeniusz Barcz, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 36 (2022): Issue 2 (September 2022)
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