Bounding the dimension of exceptional sets for orthogonal projections

Peter Cholak, Marianna Csornyei, Neil Lutz +3

It is well known that if $A\subseteq {\mathbb{R}}^n$ is an analytic set of Hausdorff dimension $a$, then ${\dim }_H(\ddot{I}{€}_{V}A)=\min \{a,k\}$ for a.e.\ $V\in G(n,k)$, where $G(n,k)$ denotes…