Abstract: A floor or walkway has a base and an overlay on the base. The overlay includes a plurality of prefabricated tiles each of which has an upper layer designed to contact objects on the floor or walkway and a lower layer designed to bear against the base. The upper layers are composed of a ceramic while the lower layers are composed of a resilient material having anti-skid characteristics. The upper and lower layers of each tile are adhesively secured or vulcanized to one another during manufacture of the tile. The overlay is formed by simply placing the tile on the base or loosely securing the tiles to the base by means of an adhesive. If the overlay is outdoors, the same or gaps between neighboring tiles are kept open to permit water runoff. The lower layers of the tiles are then formed with drainage channels and/or open pores for the discharge of water which has passed through the seams or gaps.