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Very Colorful Theorems |
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| Authors: | Jorge L Arocha Imre Bárány Javier Bracho Ruy Fabila Luis Montejano |
| Institution: | (1) Instituto de Matemáticas, Universidad Nacional Autónoma de México, Ciudad Universitaria, México DF, 04510, Mexico;(2) Renyi Institute of Mathematics, Hungarian Academy of Sciences, P.O. Box 127, 1364 Budapest, Hungary;(3) Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, England, UK;(4) Facultad de Matemáticas, Universidad Autónoma de Guerrero, Acapulco, Guerrero, Mexico |
| Abstract: | We prove several colorful generalizations of classical theorems in discrete geometry. Moreover, the colorful generalization of Kirchberger’s theorem gives a generalization of the theorem of Tverberg on non-separated partitions. |
| Keywords: | Convex sets Colorful versions Theorems of Helly Carathéodory Kirchberger Tverberg and Hadwiger |
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