Cable lift without a machine room

1. A cable lift comprising:

• a single compartment or shaft (1) housing a movable cage (2) and apparatus (3) including at least one winch (4) with a cable fixed on a wall (16) in an upper space (1a) of the shaft (1) opposite a side wall of the cage (2) when the cage (2) is fully elevated in the shaft (1);
  
  wherein the upper space (1a) is occupied only by the apparatus (3) during operation of the movable cage (2);
  
  wherein the winch (4) has a traction pulley (4c) with an axis of rotation (4a) parallel to the wall (1b) on which the winch (4) is fixed and a traction pulley (4c) over which the cable travels and extends to travel around at least one drive pulley (5a) on a counterweight (5) for displacement of the cage (2);
  
  wherein the cable (6) has a first end (6a) fixed to the cage (2) and a second end (6b) fixed in the upper space (1a);
  
  wherein the counterweight (5) is always located below the cage (2) during ascent or descent of the cage (2); and
  
  wherein during any displacement of the cage (2), travel of the cable (6) around the drive pulley (5a) results in displacement of the counterweight (5) equal to substantially half the displacement of the cage (2).