Beyond the Borsuk-Ulam theorem: The topological Tverberg story

Pavle V. M. Blagojević, Günter M. Ziegler

Bárány's "topological Tverberg conjecture" from 1976 states that any continuous map of an $N$-simplex ${\Delta }_N$ to ${\mathbb{R}}^d$, for $N\ge (d+1)(r-1)$, maps points from $r$ disjoint f…