Projective center point and Tverberg theorems
Algebraic Topology
2014-09-23 v1 Combinatorics
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.
Cite
@article{arxiv.1207.2204,
title = {Projective center point and Tverberg theorems},
author = {Roman Karasev and Benjamin Matschke},
journal= {arXiv preprint arXiv:1207.2204},
year = {2014}
}
Comments
10 pages