A retractable top (1, 100, 1000) for a vehicle, the vehicle being a four-door vehicle, the vehicle having an open top front passenger compartment and an open top rear compartment, the rear compartment having a horizontal floor and a substantially vertical wall structure on at least three horizontal sides forming the rear compartment bounded on the bottom by the floor and laterally by the vertical wall structure, the rear compartment having an open top, the rear compartment including a left rear roll bar and a right rear roll bar projecting vertically from the rear of the floor of the rear compartment above the height of the vertical walls, the roll bars projecting forward at a ceiling height to join a transverse roll bar and forming a roll cage, the retractable top comprising: - first and second support members (2, 4) being attachable to the vertical wall structure on at least two of the three horizontal sides forming the rear compartment; - a plurality of linkage arms (90, 130, 160, 180, 200, 210, 6480, 8110) attached to the first and second support members configured to move from a retracted position to an extended position, the plurality of linkage arms including a second bow arm (180, 6480), the second bow arm including a first tapered interconnection aperture, the first tapered interconnection aperture shaped to receive a first connector and recess the first connector such that an end of the first connector is flush with a first surface of the second bow arm, the plurality of linkage arms including a fourth bow arm, the fourth bow arm including an arc portion, such that the arc portion assists in folding the fourth bow arm into the plurality of linkage arms without intersecting a joint of the plurality of linkage arms; - an enclosure material oriented to span at least a portion of the plurality of linkage arms such that, when the plurality of linkage arms are in the extended position, the open top of the front and rear compartments is substantially covered, and - a first cable having a stiffness such that, when the retractable top is folded, the stiffness of the cable prevents the enclosure material from sagging downward and becoming snagged in the plurality of linkage arms, and a second cable configured to pull the enclosure material taut against the plurality of linkage arms when the retractable top is extended. - first and second support members (2, 4) being attachable to the vertical wall structure on at least two of the three horizontal sides forming the rear compartment; - a plurality of linkage arms (90, 130, 160, 180, 200, 210, 6480, 8110) attached to the first and second support members configured to move from a retracted position to an extended position, the plurality of linkage arms including a second bow arm (180, 6480), the second bow arm including a first tapered interconnection aperture, the first tapered interconnection aperture shaped to receive a first connector and recess the first connector such that an end of the first connector is flush with a first surface of the second bow arm, the plurality of linkage arms including a fourth bow arm, the fourth bow arm including an arc portion, such that the arc portion assists in folding the fourth bow arm into the plurality of linkage arms without intersecting a joint of the plurality of linkage arms; - an enclosure material oriented to span at least a portion of the plurality of linkage arms such that, when the plurality of linkage arms are in the extended position, the open top of the front and rear compartments is substantially covered, and - a first cable having a stiffness such that, when the retractable top is folded, the stiffness of the cable prevents the enclosure material from sagging downward and becoming snagged in the plurality of linkage arms, and a second cable configured to pull the enclosure material taut against the plurality of linkage arms when the retractable top is extended.