A pillow 10 has two side panels (15A, 15B), an inner wedge (20) positioned between and connected to the two side panels, a mesh (25), and at least one valve stem (30). The inner wedge is enclosed by the side panels and the mesh. When the side panels and the inner wedge are inflated they become rigid and hold the mesh taut. The mesh allows air to circulate around the head of the user when the user lays his or her head on the pillow. There may be a single valve stem, in which case there are passageways between the side panels and the inner wedge to allow air to flow between them. There may also be two or three valve stems, and one or no passageways.