On Kakeya maps with regularity assumptions

Yuqiu Fu, Shengwen Gan

In ${\mathbb{R}}^n$, we parametrize Kakeya sets using Kakeya maps. A Kakeya map is defined to be a map $$ϕ:B^{n-1}(0,1)\times [0,1]\rightarrow \mathbb{R}^{n}, (v,t)\mapsto (c(v)+tv,t)…