The topological stability of emulsions of liquid crystal in water (gly
cerol) matrices is demonstrated for a wide range of materials and conc
entrations. Coalescence is prevented by an energy barrier for a topolo
gical ring defect formation in a neck between the two merging droplets
. There is a characteristic size of emulsion droplets, typically tens
of micrometres or more, controlled by the balance of elastic and ancho
ring energies of the liquid crystal. On removal of liquid crystallinit
y (by raising the temperature above T-m in thermotropic nematic materi
als, for example) the energy barriers for coalescence disappear and em
ulsion droplets can merge quickly, controlled only by the traditional
kinetic effects. Practical applications of this effect, as well as som
e wider theoretical implications are discussed in the end.