  The COBE satellite's maps of the cosmic microwave background (CMB) anisotropy
do not have the resolution to discriminate between theories of cosmic structure
formation based on inflation, and those based on field ordering following a
symmetry breaking phase transition. For this purpose it is critical to resolve
the CMB anisotropy on degree scales. In this paper we report on detailed
calculations of the degree scale anisotropies predicted in the global string,
monopole, texture and nontopological texture scenarios of structure formation,
emphasising their distinct character from those predicted by inflation, and
commenting on the prospects of their detection in the near future.
