Linear Configurations of Complete Graphs $K_4$ and $K_5$ in ${\mathbb{R}}^3$, and Higher Dimensional Analogs

Andrew L. Marshall

We investigate the space $C(X)$ of images of linearly embedded skeleta of simplices $X$ in ${\mathbb{R}}^n$, for two families of codimension 2 complexes, each ranging over $n$. In the…