Tverberg plus minus

Imre Bárány, Pablo Soberón

We prove a Tverberg type theorem: Given a set $A\subset {\mathbb{R}}^d$ in general position with $|A|=(r-1)(d+1)+1$ and $k\in \{0,1,\dots ,r-1\}$, there is a partition of $A$ into $…