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arXiv 1104.4369math.LO
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用Sperner引理构造性地证明序列局部非常数一致序列连续函数的Brouwer不动点定理

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

Yasuhito Tanaka

摘要:

本文利用单形的修正剖分的Sperner引理,构造性地证明了序列局部非常数一致序列连续函数的Brouwer不动点定理.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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