Chessboard complexes indomitable

Authors:
Siniša T. Vrećica;Rade T. ivaljević
Affiliations:
Faculty of Mathematics, University of Belgrade, Serbia;Mathematical Institute SASA, Belgrade, Serbia
Venue:
Journal of Combinatorial Theory Series A
Year:
2011

Citing 10
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Abstract

We give a simpler, degree-theoretic proof of the striking new Tverberg type theorem of Blagojevic, Ziegler and Matschke. Our method also yields some new examples of ''constrained Tverberg theorems'' including a simple colored Radon@?s theorem for d+3 points in R^d. This gives us an opportunity to review some of the highlights of this beautiful theory and reexamine the role of chessboard complexes in these and related problems of topological combinatorics.