A guide system includes a first guide rail, a guide carriage configured to be connected to the door wing and configured to run along the first guide rail, a second guide rail separate from the first guide rail, the second guide rail extending transversely to the first guide rail in a mounted condition, a carrier configured to be displaceable relative to the second guide rail, the guide carriage can be arranged on the carrier, and a transfer device for transferring the guide carriage at least from the first guide rail to the carrier. The transfer device includes a control curve configured to be bow-shaped at least over a region, so that the guide carriage, upon a transfer from the first guide rail to the carrier, can be moved at least over a region in a direction of the second guide rail.