Multi-speed dual clutch transmission

A transmission comprising:

• a transmission housing;
• a dual clutch assembly having a first clutch, a second clutch and a clutch housing connectable to an engine output member, wherein the clutch housing is rotationally supported within the transmission housing;
• a first, second, third and fourth gear set, wherein the first gear set includes a first gear, a second gear, a third gear and an idler gear, wherein the first gear is in mesh with the second gear and the second gear is in mesh with the idler gear and the idler gear is in mesh with the third gear, the second gear set includes a first gear in mesh with a second gear and a third gear, the third gear set includes a first gear in mesh with a second gear and a third gear, the fourth gear set includes a first gear, a second gear, a third gear, a fourth gear and an idler gear, wherein the first gear is in mesh with the third gear, the third gear is in mesh with fourth gear and the idler gear and the second gear is in mesh with the idler gear;
• a first transmission input member rotatably supported in the transmission housing and wherein the first gear of the first gear set and the first gear of the second gear set are rotatably fixed for common rotation with the first transmission input member and wherein the selective engagement of the first clutch of the dual clutch assembly transfers torque from the clutch housing to the first transmission input member;
• a second transmission input member rotatably supported in the transmission housing and wherein the first gear of the third gear set and the first gear of the fourth gear set are rotatably fixed for common rotation with the second transmission input member and wherein the second transmission input member is concentric with the first transmission input member and at least partially overlays the first transmission input member and wherein the selective engagement of the second clutch of the dual clutch assembly transfers torque from the clutch housing to the second transmission input member;
• a first countershaft rotatably supported within the transmission housing and spaced apart from and parallel with the first and second transmission input members, wherein the second gear of the first gear set, the second gear of the second gear set, the second gear of the third gear set, the second gear of the fourth gear set are selectively connectable for common rotation with the first countershaft;
• a second countershaft rotatably supported within the transmission housing and spaced apart from and parallel with the first and second transmission input members, wherein the third gear of the first gear set, the third gear of the second gear set, the third gear of the third gear set, the third gear of the fourth gear set are each selectively connectable for common rotation with the second countershaft;
• a third countershaft rotatably supported within the transmission housing and spaced apart from and parallel with the first and second transmission input members, wherein the fourth gear of the fourth gear set is selectively connectable for common rotation with the third countershaft;
• a first countershaft transfer gear rotatable fixed to the first countershaft for common rotation with the first countershaft;
• a second countershaft transfer gear rotatable fixed to the second countershaft for common rotation with the second countershaft;
• a third countershaft transfer gear rotatable fixed to the third countershaft for common rotation with the third countershaft wherein the first, second and third countershaft transfer gears transfer torque to a transmission output member;
• five synchronizer assemblies for selectively coupling at least one of gears of the four gear sets with at least one of the first, second and third countershafts, and
• wherein the selective engagement of the first and second clutches of the dual clutch assembly interconnects the dual clutch housing with at least one of the first and the second transmission input members and the selective engagement of at least one of the five synchronizer assemblies establishes at least one of a plurality of forward and reverse speed ratios.