Intrinsic linking of simplicial $n$-complexes in ${\mathbb{R}}^{2n}$: An additional minimal $n$-complex

Abstract

For any positive integer $n$, the author previously constructed several minimal simplicial $n$-complexes which necessarily contain a non-splittable two-component link, consisting of an $(n-1)$-sphere and an $n$-sphere, in any embedding into ${\mathbb{R}}^{2n}$. In this paper, we present an additional simplicial $n$-complex with the same property.

arXiv comment8 pages, 2 figures