A memory device comprising a first electrode having a top side, a second electrode having a top side and an insulating member between the first electrode and the second electrode. The insulating member has a thickness between the first and second electrodes near the top side of the first electrode and the top side of the second electrode. A bridge of memory material crosses the insulating member, and defines an inter-electrode path between the first and second electrodes across the insulating member. An array of such memory cells is provided. In the array, a plurality of electrode members and insulating members therebetween comprise an electrode layer on an integrated circuit. The bridges of memory material have sub-lithographic dimensions.