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Projective Center Point and Tverberg Theorems |
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| Authors: | Roman Karasev Benjamin Matschke |
| Institution: | 1. Department of Mathematics, Moscow Institute of Physics and Technology, Institutskiy per. 9, Dolgoprudny?, 141700, Russia 2. Institute for Information Transmission Problems RAS, Bolshoy Karetny per. 19, Moscow, 127994, Russia 3. Max Planck Institute for Mathematics, Bonn, Germany |
| Abstract: | We present projective versions of the center point theorem and Tverberg’s theorem, interpolating between the original and the so-called “dual” center point and Tverberg theorems. Furthermore we give a common generalization of these and many other known (transversal, constraint, dual, and colorful) Tverberg type results in a single theorem, as well as some essentially new results about partitioning measures in projective space. |
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