Abstract: Apparatus for the production of plastic film by the extrusion of a tube thereof includes a first air ring disposed at the die exit and delivering an annular stream of cooling air to the surface of the emerging tube, which is in a stable expansion phase as it escapes the die internal pressure. Preferably the stream is directed axially of the tube path. The apparatus includes the combination of a sizing cage and a second air ring that is mounted for longitudinal movement along the tube. The tube is established with the air rings close together and they are moved as soon as possible as far apart as possible. The second air ring is located just below where the tube begins to expand and delivers an annular stream of air, preferably in a known manner away from the tube to form a vacuum which stabilizes the tube. The cooling air stream from the second ring can be high since the tube is again in a stable expansion phase with the material at an appropriate temperature.