Source : Webster's Revised Unabridged Dictionary (1913)

Discontinuity \Dis*con`ti*nu"i*ty\, n.
   Want of continuity or cohesion; disunion of parts.
   ``Discontinuity of surface.'' --Boyle.

Source : WordNet®

discontinuity
     n : lack of connection of continuity [ant: {continuity}]