Extensions of Sperner and Tucker's lemma for manifolds

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:132

Article

Musin, Oleg R.^1,2 

[1] Univ Texas Brownsville, Dept Math, Brownsville, TX 78520 USA

[2] RAS, IITP, Moscow 127994, Russia

关键词: Sperner's lemma;    Tucker's lemma;    The Borsuk-Ulam theorem;   

DOI  :  10.1016/j.jcta.2014.12.001

来源: Elsevier

【 摘 要 】

The Sperner and Tucker lemmas are combinatorial analogs 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. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free