3 problems

Let $\mathcal{M}\subseteq\mathbb{R}^n$ be an analytic manifold. It is nondegenerate if it is not contained locally in any proper affine subspace of $\mathbb{R}^n$. Sprindžuk's conj…

Sprindzhuk's conjecture. Any non-degenerate analytic submanifold of $\mathbb{R}^d$ is extremal.

Let ${\cal M}$ be a non-degenerate submanifold of ${\mathbb{R}}^n$, and let the measure on ${\cal M}$ be its Riemannian measure. Baker-Sprindzuk conjecture. The manifold ${\cal M}$…