Authors: Vrećica, Siniša
Živaljević, Rade 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Chessboard complexes indomitable
Journal: Journal of Combinatorial Theory. Series A
Volume: 118
Issue: 7
First page: 2157
Last page: 2166
Issue Date: 1-Oct-2011
Rank: M21
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2011.04.007
Abstract: 
We give a simpler, degree-theoretic proof of the striking new Tverberg type theorem of Blagojević, 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 Rd. 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.
Keywords: Chessboard complexes | Colored Radon's theorem | Colored Tverberg problem | Degrees of equivariant maps | Topological combinatorics
Publisher: Elsevier
Project: Supported by Grants 144014 and 144026 of the Serbian Ministry of Science and Technology

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