On the Two-Dimensional Version of the Sperner Lemma and Brouwer’s 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 given in the paper was carried out using the so-called index.

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Bibliographische Detailangaben
Veröffentlicht in:	Annales mathematicae Silesianae 2022-09, Vol.36 (2), p.106-114
1. Verfasser:	Barcz, Eugeniusz
Format:	Artikel
Sprache:	eng
Schlagworte:	05C90 47H10 54H25 Brouwer’s theorem fixed-point property retraction Sperner’s Lemma
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	2391-4238 2391-4238
DOI:	10.2478/amsil-2022-0012