Projective Center Point and Tverberg Theorems

@article{Karasev2014ProjectiveCP,
  title={Projective Center Point and Tverberg Theorems},
  author={R. Karasev and B. Matschke},
  journal={Discrete & Computational Geometry},
  year={2014},
  volume={52},
  pages={88-101}
}
  • R. Karasev, B. Matschke
  • Published 2014
  • Mathematics, Computer Science
  • Discrete & Computational Geometry
  • 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. 
    1 Citations

    Topics from this paper.

    References

    SHOWING 1-10 OF 45 REFERENCES
    Dual theorems on central points and their generalizations
    • 12
    Tverberg's Conjecture
    • S. Vrecica
    • Computer Science, Mathematics
    • Discret. Comput. Geom.
    • 2003
    • 14
    • PDF
    Tverberg's Transversal Conjecture and Analogues of Nonembeddability Theorems for Transversals
    • R. Karasev
    • Mathematics, Computer Science
    • Discret. Comput. Geom.
    • 2007
    • 17
    • PDF
    A local criterion for Tverberg graphs
    • 7
    • PDF
    A topological central point theorem
    • 8
    • PDF