R. Wenger, Progress in geometric transversal theory. In B. Chazelle, J. E. Goodman, and R. Pollack, eds., Advances in Discrete and Computational Geometry, pp. 375--393. Amer. Math. Soc., Providence, 1998. 13  Home/Search Document Details and Download
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On the Helly Number for Hyperplane Transversals to Unit.. - Aronov, Goodman.. Self-citation (Wenger) (Correct)
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R. Wenger, Progress in geometric transversal theory. In B. Chazelle, J. E. Goodman, and R. Pollack, eds., Advances in Discrete and Computational Geometry, pp. 375--393. Amer. Math. Soc., Providence, 1998. 13
On the Helly Number for Hyperplane Transversals to Unit.. - Aronov, Goodman.. Self-citation (Wenger) (Correct)
....that for hyperplane transversals to families of (d Gamma2) separated unit balls in R d , T (k(d) T . For background and additional information on Helly s theorem and geometric transversals, we refer the reader to the excellent survey [4] and to several surveys containing more recent results: [7, 5, 16, 17]. 2 T (4) 6) T The following example shows that T (4) does not suffice for T , even in the case of six or more disjoint unit disks. Theorem 1 For each n 6, there exist n pairwise disjoint unit disks in R 2 such that any four have a common transversal but some five do not. 2 1 3 4 5 6 Figure ....
R. Wenger, Progress in geometric transversal theory. In B. Chazelle, J. E. Goodman, and R. Pollack, eds., Advances in Discrete and Computational Geometry, pp. 375--393. Amer. Math. Soc., Providence, 1998.
No Helly theorem for stabbing translates by lines in R³ - Holmsen, Matousek (Correct)
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R. Wenger, Progress in geometric transversal theory. In Advances in Discrete and Computational Geometry (South Hadley, MA,
No Helly theorem for stabbing translates by lines in R³ - Holmsen, Matousek (2003) (Correct)
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R. Wenger, Progress in geometric transversal theory. In Advances in Discrete and Computational Geometry (South Hadley, MA,
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