Word.ws English Dictionary

Sperner's lemma

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.

Proper noun

Sperner's lemma

  1. 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.

Origin of Sperner's lemma

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

Questions about Sperner's lemma

What does Sperner's lemma mean?
Sperner's lemma means 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.
What part of speech is Sperner's lemma?
Sperner's lemma is a proper noun.

Words near Sperner's lemma in the dictionary

  1. Sperner
  2. Sperner families
  3. Sperner family
  4. Sperner system
  5. Sperner systems
  6. Sperner's lemma
  7. Sperner's theorem
  8. Spero
  9. speromagnet
  10. speromagnetic
  11. speromagnetism

Source and license

Adapted from Wiktionary: Sperner's lemma (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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