2 problems

Let $(\mathfrak{X},d,\mu)$ be a metric Polish probability space. Equivalence conjecture. The space $(\mathfrak{X},d,\mu)$ is asymptotically average-case approximable if and only if…

Let $(\mathfrak{X},d,\mu)$ be a metric probability space, where $\mathfrak{X}$ is a compact, connected, $D$-dimensional Riemannian manifold, $d$ is its geodesic distance, and $\mu$…