COUNTEREXAMPLES TO THE COLORFUL TVERBERG CONJECTURE FOR HYPERPLANES

@article{Carvalho2022COUNTEREXAMPLESTT,
  title={COUNTEREXAMPLES TO THE COLORFUL TVERBERG CONJECTURE FOR HYPERPLANES},
  author={Jos{\'e} Pedro Carvalho and Pablo Sober{\'o}n},
  journal={Acta Mathematica Hungarica},
  year={2022},
  volume={167},
  pages={385 - 392}
}
Karasev [16] conjectured that for every set of r blue lines, r green lines, and r red lines in the plane, there exists a partition of them into r colorful triples whose induced triangles intersect. We disprove this conjecture for every r and extend the counterexamples to higher dimensions. 

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