No weak epsilon nets for lines and convex sets in space
Combinatorics
2024-09-06 v3 Metric Geometry
Abstract
We prove that there exist no weak -nets of constant size for lines and convex sets in .
Cite
@article{arxiv.2202.02719,
title = {No weak epsilon nets for lines and convex sets in space},
author = {Otfried Cheong and Xavier Goaoc and Andreas F. Holmsen},
journal= {arXiv preprint arXiv:2202.02719},
year = {2024}
}
Comments
Boris Bukh has informed us that our construction can be extended to 2-flats in $\mathbb{R}^4$. 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)