Large Sets with Small Injective Projections

Frank Coen, Nate Gillman, Tamás Keleti +2

Let ${\ell }_1,{\ell }_2,\dots$ be a countable collection of lines in ${\mathbb{R}}^d$. For any $t\in [0,1]$ we construct a compact set $\Gamma \subset {\mathbb{R}}^d$ with Hausdorff dimension $…