Constructive proof of Brouwer's fixed point theorem for sequentially locally non-constant and uniformly sequentially continuous functions by Sperner's lemma

Yasuhito Tanaka

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arXiv · 1104.4369

Constructive proof of Brouwer's fixed point theorem for sequentially locally non-constant and uniformly sequentially continuous functions by Sperner's lemma

Yasuhito Tanaka

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Abstract

In this paper using Sperner's lemma for modified partition of a simplex we will constructively prove Brouwer's fixed point theorem for sequentially locally non-constant and uniformly sequentially continuous functions.

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BibTeX RIS

Yasuhito Tanaka. 2011-04-22. Constructive proof of Brouwer's fixed point theorem for sequentially locally non-constant and uniformly sequentially continuous functions by Sperner's lemma. https://arxiv.org/abs/1104.4369

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