Method and device for cutting through a running web of material and for fixing the start of the following web section on a core

For the winding of a material web on a driven winding roll, it is cut through after the completed winding of a winding roll and the start of the following web is fastened on a winding core. The web is fed in the winding roll via a guide device, preferably consisting of a winding roller, and, after being cut through in a guide channel laid around a winding tube. In order to be able to wind the web with alternating outer sides into a winding roll, the web is fed, according to the desired outer side, from the left or from the right on winding in the winding tube. The winding tube is driven with a corresponding one of two opposite directions of rotation.