2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164666We exhibit an example of covering surface of C*, arising from analytical continuation of a holomorphic germ and failing to be a topological covering, due to singular points and regular ones being projected over the same slits in C*.Completely revised version; LaTeX, English, 3 pages, 2 figures. Please note that the natural name of the author is 'Claudi Meneghin'Complex Variables37F25, 37F05An example of a covering surface with 'movable' natural boundariestext