Counterexamples to the Colorful Tverberg Conjecture for Hyperplanes
arXiv:2108.07680
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.
5 pages, 1 figure