Sperner type lemma for quadrangulations

Abstract

Sperner's lemma states that every Sperner coloring of a triangulation of a simplex contains a fully colored simplex. We present a generalization of this lemma, where instead of triangulations are considered quadrangulations.

8 pages, 2 figures. arXiv admin note: text overlap with arXiv:1405.7513

References in corpus (3)

• Around Sperner's lemma
• Kakutani type Borsuk-Ulam theorem
• Extensions of Sperner and Tucker's lemma for manifolds

Cited by in corpus (1)

• Homotopy groups and quantitative Sperner-type lemma