An inflatable furniture design has a user-interfacing surface, such as the sleeping surface of an air mattress, which includes a breathable multilayer mesh which separates the user from the underlying air-impermeable sheet. The breathable mesh is made from a material such as 3D fabric, which is resiliently deformable while also allowing for airflow through and around the volume of the mesh material of the breathable interface material. When a person contacts the inflatable furniture, her or his body comes into direct contacts with the breathable mesh. The mesh then resiliently deforms such that airflow through and around the mesh is still permitted. This airflow allows heat and moisture from the user to dissipate through mesh of the breathable interface material. This, in turn, enhances the comfort of the breathable mesh, while also reducing the potential for the proliferation of bacteria and mites on the user-contacting surface.