  One of the most spectacular discoveries made in superfluid $^3$He confined in
a nanostructured material like aerogel or nafen was the observation of the
destruction of the long-range orientational order by a weak random anisotropy.
The quenched random anisotropy provided by the confining material strands
produces several different glass states resolved in NMR experiments in the
chiral superfluid $^3$He-A and in the time-reversal-invariant polar phase. The
smooth textures of spin and orbital order parameters in these glasses can be
characterized in terms of the randomly distributed topological charges, which
describe skyrmions, spin vortices and hopfions. In addition, in these skyrmion
glasses the momentum-space topological invariants are randomly distributed in
space. The Chern mosaic, Weyl glass, torsion glass and other exotic topological
sates are examples of close connections between the real-space and
momentum-space topologies in superfluid $^3$He phases in aerogel.
