Sperner's lemma

proper noun

A combinatorial analog of the Brouwer fixed-point theorem, stating that every Sperner coloring of a triangulation of an n-dimensional simplex contains a cell colored with a complete set of colors.

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Meanings

proper noun
  1. mathematicsA combinatorial analog of the Brouwer fixed-point theorem, stating that every Sperner coloring of a triangulation of an n-dimensional simplex contains a cell colored with a complete set of colors.

Origin

The initial result of this kind was proved by Emanuel Sperner.

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Cite this entry
APA

Sperner's lemma. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Sperner's%20lemma

MLA

“Sperner's lemma.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Sperner's%20lemma. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Sperner's lemma,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Sperner's%20lemma.

Source: Sperner's lemma on Wiktionary, CC BY-SA 4.0.