A retractable covering for an architectural opening includes a headrail in which a control system is mounted and a fabric suspended from the headrail. The fabric is mounted to be moved laterally between a rolled up retracted position and an extended position across the architectural opening. At least one roller about which the fabric can be wrapped is mounted at an end of the headrail for rotation about a vertical axis, and the system includes a flexible control element that is substantially horizontally disposed for moving the covering between extended and retracted positions.