  We find a new class of topological superconductors which possess an emergent
time-reversal symmetry that is present only after projecting to an effective
low-dimensional model. We show that a topological phase in symmetry class DIII
can be realized in a noninteracting system coupled to an $s$-wave
superconductor only if the physical time-reversal symmetry of the system is
broken, and we provide three general criteria that must be satisfied in order
to have such a phase. We also provide an explicit model which realizes the
class DIII topological superconductor in 1D. We show that, just as in
time-reversal invariant topological superconductors, the topological phase is
characterized by a Kramers pair of Majorana fermions that are protected by the
emergent time-reversal symmetry.
