This proposal forms a very specific part of our project to investigate complex magnetic structures in rare earth intermetallics. In extensive bulk measurements on high purity TmCu single crystals, we have discovered a unusually large and sign changing contribution to the Hall effect. This signal appears to be linked to distinct pockets in the magnetic phase diagram. In the context of the topological Hall effect, this supports our case of reinterpreting magnetic multi-k structures as real space topological objects, sometimes referred to as hedgehogs or skyrmions. With this proposal, we follow up on our previous neutron measurements at the ILL and FRM2, where we observed unusual higher-order modulations of the magnetic structure, associated with certain phases. WISH at ISIS is uniquely suited to establish a clear overview and understanding of this magnetic ordering process in TmCu.