Abstract: Headgear, such as a hat, cap or visor, with notches, cut-outs or spaces provided in the lower edge or band area above the ears. The notches or spaces may be mirror images on either side of the headgear, although the number, placement, and configurations of the notches or spaces may vary. The notches or spaces are configured to allow eyewear to be worn normally without interference with the eyewear earpieces, or any eyewear keeper devices that may be attached to the earpieces, but also without substantially impacting the integrity and functionality of the headgear.