Abstract: A support surface assembly for a sleeping person that comprises a rigid frame with an upper edge for supporting an air-permeable layer and an air-permeable layer that is fixedly joined to the upper edge in a desired tension, such that the upper edge is entirely covered by the outer perimeter of the air-permeable layer. The air-permeable layer comprises a lattice grid structure such as a mesh material, a netting or a web-like material. The outer perimeter of the air-permeable layer is joined to the frame at the side wall or at the bottom wall of the frame.