English

An Infinitary version of Sperner's lemma

General Topology 2007-05-23 v1 Combinatorics

Abstract

We prove an extension of the well-known combinatorial-topological lemma of E. Sperner to the case of infinite-dimensional cubes. It is obtained as a corollary to an infinitary extension of the Lebesgue Covering Dimension Theorem.

Keywords

Cite

@article{arxiv.math/0208141,
  title  = {An Infinitary version of Sperner's lemma},
  author = {Aarno Hohti},
  journal= {arXiv preprint arXiv:math/0208141},
  year   = {2007}
}

Comments

9 pages

R2 v1 2026-07-22T16:47:10.889Z