Stronger counterexamples to the topological Tverberg conjecture

S. Avvakumov, R. Karasev, A. Skopenkov

Denote by ${\Delta }_M$ the $M$-dimensional simplex. A map $f:{\Delta }_M\to {\mathbb{R}}^d$ is an almost $r$-embedding if $f{\sigma }_1\cap \dots \cap f{\sigma }_r=\varnothing$ whenever ${\sigma }_1,\dots ,{\sigma }_r$ are pairw…