  It is first observed that the original formulation of the Volterra
construction for dislocations and disclinations was related to the role that
homotopy plays in strain compatibility, whereas the modern discussions are
chiefly concerned with how it relates to the holonomy groups of connections
that have non-vanishing torsion and curvature. However, the Saint Venant
conditions that follow from assuming infinitesimal strain compatibility imply
that both torsion and curvature must vanish. The resolution of the confusion is
in the fact that when a manifold is multiply connected a flat connection might
still have non-trivial discrete holonomy.
