Chessboard complexes indomitable

Abstract

We give an alternative proof of the striking new Tverberg type theorem of Blagojevic and Ziegler, arXiv:0910.4987v1 [math.CO]. Our method also yields some new cases of "constrained Tverberg thereom" in the sense of Hell, including a simple colored Radon's theorem for d+3 points in R^d. This is a final version of the paper with improved presentation, corrected typos and added references.

Improved presentation; corrected typos; added references

References in corpus (4)

• Optimal bounds for a colorful Tverberg--Vrecica type problem
• Optimal bounds for the colored Tverberg problem
• Exact Sequences for the Homology of the Matching Complex
• Symmetric Homology of Algebras

Cited by in corpus (3)

• Optimal bounds for a colorful Tverberg--Vrecica type problem
• Optimal bounds for the colored Tverberg problem
• Topological Colored Tverberg Theorem and the Reduction Lemma