subsimplices

English

Noun

subsimplices

1. plural of subsimplex
   • 2016, A. Skopenkov, “A user's guide to disproof of topological Tverberg conjecture”, in arXiv‎^[1]:

     The conjecture asserts that for each integers $r,d>0$ and each continuous map $f\colon \Delta \to \mathbb {R} ^{d}$ of the $(d+1)(r-1)$-dimensional simplex $\Delta$ there are pairwise disjoint subsimplices $\sigma _{1},\ldots ,\sigma _{r}\subset \Delta$ such that $f(\sigma _{1})\cap \ldots \cap f(\sigma _{r})\neq \emptyset$. A counterexample was found in a series of papers by M. \"Ozaydin, M.