Discrete & Computational Geometry

, Volume 38, Issue 3, pp 513–525 | Cite as

Tverberg's Transversal Conjecture and Analogues of Nonembeddability Theorems for Transversals

  • Roman N. KarasevEmail author


In this paper we prove a special case of the transversal conjecture of Tverberg and Vrecica. We consider the case when the numbers of parts ri in this conjecture are powers of the same prime. We also prove some results on common transversals that generalize the classical nonembeddability theorems. We also prove an analogue of the colored Tverberg's theorem by Zivaljevic and Vrecica. Instead of multicolor simplices with a common point it gives multicolor simplices with a common m-transversal.


Vector Bundle Simplicial Complex Discrete Comput Geom Euler Class Grassmann Variety 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer 2007

Authors and Affiliations

  1. 1.Department of Mathematics, Moscow Institute of Physics and Technology, Institutskiy per. 9DolgoprudnyRussia 141700

Personalised recommendations