  The past years have seen rapid progress in the classification of topological
materials. These diagnostical methods are increasingly getting explored in the
pertinent context of magnetic structures. We report on a general class of
electronic configurations within a set of anti-ferromagnetic-compatible space
groups that are necessarily topological. Interestingly, we find a systematic
correspondence between these anti-ferromagnetic phases to necessarily
nontrivial topological ferro/ferrimagnetic counterparts that are readily
obtained through physically motivated perturbations. Addressing the exhaustive
list of magnetic space groups in which this mechanism occurs, we also verify
its presence on planes in 3D systems that were deemed trivial in existing
classification schemes. This leads to the formulation of the concept of
subdimensional topologies, featuring non-triviality within part of the system
that coexists with stable Weyl points away from these planes, thereby
uncovering novel topological materials in the full 3D sense that have readily
observable features in their bulk and surface spectrum.
