A cap (110) has a peak (112) formed of plastics material, where an upturned flange (126) is fastened by stitches (121) to an inturned and upturned flap (116) at the rim (117) of the domed head covering portion (111) and to a flap (119) on a sweat absorbing band (120). Advertising material (122) can be placed in a recess (123) in the peak (112).