New Upper Bound on the Transversal Width of T(3)-Families of Discs |
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| Authors: | Aladár Heppes |
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| Affiliation: | (1) Renyi Institute of the Hungarian Academy of Sciences, H-1053 Budapest, Hungary |
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| Abstract: | A result of Eckhoff implies that to every finite T(3)-family of pairwise disjoint copies of a closed disc of unit diameter there exists a strip of width 1 meeting all members of the family. Our goal is to generalize this result giving a stricter upper bound by proving that the narrowest transversal strip has width < 0.65. |
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