王虹+三维挂谷猜想论文2025(英)
聚焦王虹+三维挂谷猜想论文2025(英)。, with the property that not too many tubes can be contained inside a common convex set V . We show that the union of tubes from such a set must have almost maximal volume. As a consequence, we prove that every Kakeya set in R。