Abstract: Dispenser apparatus for sequentially dispensing sheet material from a center pull coreless roll of sheet material includes a wall-mounted housing having a bottom for supporting the coreless roll on end. A dispenser opening such as a nozzle is incorporated in the apparatus. A tear bar adjacent the nozzle creates stress at perforations that connects two adjacent sheets. When a user pulls a first sheet, the stress causes the sheets to separate. The tear bar is preferably beneath the nozzle, so that the sheets separate at the tear bar leaving an acceptable lead end of a next sheet, when the user pulls at an angle substantially 90 degrees to the wall.