  The theory of singular dislocations is placed within the framework of the
theory of continuous dislocations using de Rham currents. For a general
$n$-dimensional manifold, an $(n-1)$-current describes a local layering
structure and its boundary in the sense of currents represents the structure of
the dislocations. Frank's rules for dislocations follow naturally from the
nilpotency of the boundary operator.
