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The well know theorem of Tverberg states that if n > (d+1)(r-1) then one can partition any set of n points in R^d to r disjoint subsets whose convex hulls have a common point.
H. Tverberg, A generalization of Radon’s theorem
1966
Earlier work this paper cites.
John R. Reay, Several generalizations of Tverberg’s theorem,
1979
Earlier work this paper cites.
H. Tverberg, A generalization of Radon’s theorem 2
1981
Cited alongside, same era.
K. S. Sarkaria, Tverberg’s theorem via number fields,
1992
Cited alongside, same era.
Micha A. Perles and Moriah Sigron, Strong general position,
Cited in the paper.
J.- P. Roudneff, Partitions of points into simplices with k-dimensional intersection. Part I: The conic Tverberg’s theorem,
2001
Later among the works it cites.
Matoušek, Jiří, Lectures on discrete geometry
2002
Later among the works it cites.
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