A filament laterally spans a tear, fissure or other defect in an annulus. One portion of the filament is anchored to the annulus by passing at least one first anchor through the annulus and into the nucleus on one side of the fissure, and with a second portion of the filament being anchored to the annulus by passing at least one second anchor through the annulus and into the nucleus on a second side of the fissure, with the at least one first and second anchors being drawn back through the nucleus and against the inner surface of the posterior annulus by the application of a significant (e.g., about 15N to 25N) axial tension applied perpendicular to the posterior wall of the annulus, and with the fissure being drawn closed by the subsequent application of a significant axial tension applied perpendicular to the posterior wall of the annulus.