Line, spiral, dense
arXiv:1409.1079 · doi:10.4171/LEM/62-1/2-6
Abstract
Exponential of exponential of almost every line in the complex plane is dense in the plane. On the other hand, for lines through any point, for a set of angles of Hausdorff dimension one, exponential of exponential of a line with angle from that set is not dense in the plane.
14 p, 4 figures