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A Proof of Brouwer’s Fixed Point Theorem Using Sperner’s Lemma
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Author: Cassie Lu
Abstract: This article offers a simple but rigorous proof of Brouwer’s fixed point theorem using Sperner’s Lemma. The general method I have used so far in the proof is mainly to convert the n-dimensional shapes to the corresponding case under the Sperner’s Labeling and apply the Sperner’s Lemma to solve the question.
Keywords: Brouwer’s Fixed Point Theorem, Sperner’s Lemma, Proof
References:
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