  We clarify the details of a cryptical paper by Orevkov in which a
construction of a proper holomorphic embedding $\gamma\colon\Bbb
P^1\setminus{C}\hookrightarrow\Bbb C^2$ is performed; in particular, it is
proved that such a construction can be done to get the Cantor set $C$ to have
zero Hausdorff dimension.
