An elongated intercore for mounting hollow cores of various lengths for rotation. The intercore includes a plurality of stop members spaced along at least part of the length of the intercore, and which are urged resiliently radially outward between retracted and extended positions. As a result, a core can be slid over the stop members while they are in their retracted position and a first end of a core can abut against a forward facing side of any of the stop members when in an extended position, to prevent the first end from rearward movement. In another aspect, an elongated intercore is provided with a plurality of ring guides spaced apart from one another along a forward end of the intercore and each extending about the intercore. This aspect additionally includes a resilient wire ring which can be positioned within any of the ring guides and restrain forward movement of the core.