Conjecture on the dimension of visible parts of planar sets
Let E⊂R2E\subset\mathbb{R}^2E⊂R2 be a compact set, and let VisθE\operatorname{Vis}_\theta EVisθE denote its visible part from direction θ\thetaθ, namely the points x∈Ex\in Ex∈E such that the half-li…