Extensions of Sperner and Tucker's lemma for manifolds

Abstract

The Sperner and Tucker lemmas are combinatorial analogous of the Brouwer and Borsuk - Ulam theorems with many useful applications. These classic lemmas are concerning labellings of triangulated discs and spheres. In this paper we show that discs and spheres can be substituted by large classes of manifolds with or without boundary.

References in corpus (2)

• Lectures on 0/1-polytopes
• Chebyshev systems and zeros of a function on a convex curve

Cited by in corpus (2)

• Around Sperner's lemma
• Sperner type lemma for quadrangulations