KKM type theorems with boundary conditions
Algebraic Topology
2017-10-03 v2 Combinatorics
Geometric Topology
Abstract
We consider generalizations of Gale's colored KKM lemma and Shapley's KKMS theorem. It is shown that spaces and covers can be much more general and the boundary KKM rules can be substituted by more weaker boundary assumptions.
Cite
@article{arxiv.1512.04612,
title = {KKM type theorems with boundary conditions},
author = {Oleg R. Musin},
journal= {arXiv preprint arXiv:1512.04612},
year = {2017}
}
Comments
13 pages, 2 figures. arXiv admin note: text overlap with arXiv:1406.6672 by other authors