Around Sperner's lemma
Abstract
We consider a generalization of the classic Sperner lemma. This lemma states that every Sperner coloring of a triangulation of a simplex contains a fully colored simplex. We found a weaker assumption than Sperner's coloring. It is also shown that the main theorem implies Tucker's lemma and some other theorems.
 Publication:

arXiv eprints
 Pub Date:
 May 2014
 arXiv:
 arXiv:1405.7513
 Bibcode:
 2014arXiv1405.7513M
 Keywords:

 Mathematics  Combinatorics;
 Mathematics  Metric Geometry
 EPrint:
 15 pages, 6 figures. arXiv admin note: text overlap with arXiv:1212.1899