Abstract: A pull element travel sensor include a winding drum and a pull element which can be wound on to and unwound from the winding drum. The winding drum is biassed in the pull element winding-on direction. The length of the pull element which is pulled off the winding drum can be detected by a detecting unit. The pull element is wound on the winding drum in a spiral configuration in a plurality of layers in mutually superposed relationship in a single radial plane of the winding drum. A lifting apparatus for lifting a load has at least two lifting units and at least one travel sensor, each lifting unit having a winding drum with a pull element and a motor for driving the winding drum in the winding-on direction. At least one of the lifting units has a detecting unit for detecting the drawn-off length of the pull element from the winding drum, with all pull elements of the lifting units engaging the same load.