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- W2162144048 abstract "We will prove the following generalisation of Tverberg’s Theorem: given a set S⊂ℝ d of (r+1)(k−1)(d+1)+1 points, there is a partition of S in k sets A 1,A 2,…,A k such that for any C⊂S of at most r points, the convex hulls of A 1C,A 2C,…,A k C are intersecting. This was conjectured first by Natalia García-Colín (Ph.D. thesis, University College of London, 2007)." @default.
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- W2162144048 date "2012-01-12" @default.
- W2162144048 modified "2023-10-02" @default.
- W2162144048 title "A Generalisation of Tverberg’s Theorem" @default.
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- W2162144048 doi "https://doi.org/10.1007/s00454-011-9379-z" @default.
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