Abstract: A collapsible headgear includes rib members having somewhat spherical inner ends that fit into radial sockets in a hub, thus enabling the rib members to fold from a collapsed condition, in which they lie along the hub axis, to an erected condition in which they project from the hub. The movement from one condition to the other is produced by a collar and struts that extend between the collar and the rib members. The struts are connected at their outer ends to the rib members by clevises, and have generally spherical inner ends that fit into radial sockets in the collar. Consequently, when the collar is moved upwardly toward the hub, the struts are driven outwardly, and the struts in turn drive the rib members to their erected positions. A cover extends over the rib members, and the cover, rib members, and struts, when erected, are supported above the user's head by supports which extend downwardly from the struts and at their lower ends are fitted with a headband.