A local criterion for Tverberg graphs

  title={A local criterion for Tverberg graphs},
  author={Alexander Engstr{\"o}m},
The topological Tverberg theorem states that for any prime power q and continuous map from a (d+ 1)(q− 1)-simplex to Rd, there are q disjoint faces Fi of the simplex whose images intersect. It is possible to put conditions on which pairs of vertices of the simplex that are allowed to be in the same face Fi. A graph with the same vertex set as the simplex, and with two vertices adjacent if they should not be in the same Fi, is called a Tverberg graph if the topological Tverberg theorem still… CONTINUE READING