  We show how a singly quantized vortex can exhibit energetically stable defect
cores with different symmetries in an atomic spin-1 polar Bose-Einstein
condensate, and how a stable topologically nontrivial Skyrmion texture of lower
dimensionality can be confined inside the core. The core isotropy and the
stability of the confined texture are sensitive to Zeeman level shifts. The
observed structures have analogies, respectively, in pressure-dependent
symmetries of superfluid liquid He-3 vortices and in the models of
superconducting cosmic strings.
