the prior art in generic upholstered parts for vehicle seats between these two longitudinal edge strips 123 and 124 spaced apart from one another there remains an uncoated central region 125 onto which in a further step illustrated with reference to fig3 an air permeable upholstery core 110 is directly applied before the application onto the carrier layer 109 the air permeable upholstery core 110 is already provided with a layer of barrier coat 116 which in an adjacent edge region 126 of the air permeable upholstery core 110 is adhered in each case to the longitudinal edge strips 123 or 124 of the barrier coat 107 accordingly the layer of barrier coat 116 is located substantially only on regions of the air permeable upholstery core 110 which do not come into direct operational contact with the carrier layer 109 both the barrier coat 107 and the layer of barrier coat 116 consist in this embodiment of a polyurethane film the air permeable upholstery core 110 is advantageously shielded by the layer of barrier coat 116 in particular relative to a reaction mixture for foaming of a main upholstery 106 which in a further step illustrated in fig4 is correspondingly foamed onto the layer of barrier coat 116 or onto the longitudinal edge strips.