|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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