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Topological degree and the Sperner lemma

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In this paper, we give a new proof of Sperner's lemma, in its superstrong from, using the topological degree. Thus, we point out a relation between several methods for fixed-point theorems using either the topological degree, or the KKM lemma, or the Sperner lemma.

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The author would like to thank Dr. G. Leitmann for his remarks and suggestions.

Communicated by G. Leitmann

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Le Van, C. Topological degree and the Sperner lemma. J Optim Theory Appl 37, 371–377 (1982). https://doi.org/10.1007/BF00935276

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Key Words

  • Topological degree
  • simplex
  • triangulations