Counterexamples to the Colorful Tverberg Conjecture for Hyperplanes
Combinatorics
2021-08-19 v2
Abstract
In 2008 Karasev conjectured that for every set of blue lines, green lines, and red lines in the plane, there exists a partition of them into colorful triples whose induced triangles intersect. We disprove this conjecture for every and extend the counterexamples to higher dimensions.
Keywords
Cite
@article{arxiv.2108.07680,
title = {Counterexamples to the Colorful Tverberg Conjecture for Hyperplanes},
author = {João Pedro Carvalho and Pablo Soberón},
journal= {arXiv preprint arXiv:2108.07680},
year = {2021}
}
Comments
5 pages, 1 figure