The LSB theorem implies the KKM lemma
General Topology
2007-08-28 v2 Combinatorics
Abstract
We prove the lemma of Knaster-Kuratowski-Mazurkiewicz as a consequence of the Lusternik-Schnirelman-Borsuk theorem.
Cite
@article{arxiv.math/0409092,
title = {The LSB theorem implies the KKM lemma},
author = {Gwen Spencer and Francis Edward Su},
journal= {arXiv preprint arXiv:math/0409092},
year = {2007}
}
Comments
5 pages, 3 figures; related work at http://www.math.hmc.edu/~su/papers.html