On a transversal theorem of Montejano and Karasev
Combinatorics
2024-09-06 v2
Abstract
We give a new proof of a theorem of Montejano and Karasev regarding -dimensional transversals to small families of convex sets. While their proof uses technical algebraic and topological tools, our proof is a simple application of the Borsuk-Ulam theorem. Additionally, in certain cases our result is stronger than the Montejano-Karasev theorem.
Keywords
Cite
@article{arxiv.2112.07907,
title = {On a transversal theorem of Montejano and Karasev},
author = {Andreas F. Holmsen},
journal= {arXiv preprint arXiv:2112.07907},
year = {2024}
}
Comments
The contents of this manuscript was published as part of the paper: O. Cheong, X. Goaoc, A. F. Holmsen, Some New Results on Geometric Transversals. Discrete Comput Geom (2023)