Any compact differentiable submanifold of \({\mathbb{R}}^ n\) has an algebraic approximation in \({\mathbb{R}}^ n\)
The author claims to have proven that any compact smooth submanifold of \({\mathbb{R}}^ n\) is isotopic to a nonsingular real gebraic set. Although this may turn out to be true, the proof given has several gaps. More precisely, examples can be constructed for which the function h in the proof cannot have the properties demanded of it.
smooth submanifold of \({\mathbb{R}}^ n\)
isotopic to a nonsingular real gebraic set
scientific article; zbMATH DE number 4086556