Having upturned and close fitting rim, brim, or visor:
(under subclass 171) Head covering having a crown and a thin exterior extension attached to the lower peripheral edge of the crown, the extension being positioned so as to extend along a path which is adjacent to and generally parallel to the exterior surface of the crown and completely encircles the crown, encircles most of the crown, or encircles only a portion of the crown.
SEE OR SEARCH CLASS
D2, Apparel and Haberdashery,
888, for a design patent of a head covering with an upturned rim, brim, or visor.