volume 29, issue 4, P505-510 2003
DOI: 10.1007/s00454-003-0784-9
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Abstract: In 1989 Helge Tverberg proposed a quite general conjecture in Discrete Geometry, which could be considered as the common basis for many results in Combinatorial Geometry, and at the same time as a discrete analogue of the common transversal theorems. It implies or contains as special cases many classical "coincidence" results such as Radon's theorem, Rado's theorem, the Ham sandwich theorem, "non-embeddability" results (e.g. non-embeddability of graphs K 5 and K 3,3 in R 2 ), etc. The main goal of this short …

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