Pairwise intersecting convex sets and cylinders in $\R^3$
Combinatorics
2021-05-07 v2
Abstract
We prove that given a finite collection of cylinders in with the property that any two them intersect, then there is a line intersecting an fraction of the cylinders where . This is a special case of an interesting conjecture.
Keywords
Cite
@article{arxiv.2104.02148,
title = {Pairwise intersecting convex sets and cylinders in $\R^3$},
author = {Imre Barany},
journal= {arXiv preprint arXiv:2104.02148},
year = {2021}
}
Comments
6 pages