Exeptional set estimates for the Hausdorff dimension of intersections

Abstract

For Borel subsets A and B of the Euclidean n-space the intersection of A with generic rotations and translations of B has often Hausdorff dimension at least dim A + dim B - n. Estimates for the exceptional set of rotations are derived.

References in corpus (2)

• A sharp exceptional set estimate for visibility
• Codimension formulae for the intersection of fractal subsets of Cantor spaces