Stereographic compactification and affine bi-Lipschitz homeomorphisms

Vincent Grandjean, Roger Oliveira

Let ${\sigma }_q:{\mathbb{R}}^q\to {\mathbf{S}}^q\setminus N_q$ be the inverse of the stereographic projection with centre the north pole $N_q$. Let $W_i$ be a closed subset of $\mathbb{R}^{q…