Projective center point and Tverberg theorems

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,...

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Bibliographic Details
Published in:arXiv.org 2012-07
Main Authors: Karasev, Roman, Matschke, Benjamin
Format: Article
Language:English
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Theorems
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1207.2204