Technically, a false edge is one that does not run the full length of the blade. A swedge is where a part of the steel has been ground away on one or both sides of the spine of the blade. Some traditional multi-blade patterns feature swedges to provide clearance so the blades don't rub together. Some swedges are used to lighten a portion of the blade to change the balance point, others to provide a smaller cross-sectional area to aid in piercing. An unsharpened swedge is often incorrectly called a false edge.
The Spyderco Native and Police models both have swedge tips. If you sharpened them, they would become false edges. The Police was actually designed so the swedge could be sharpened if desired, as that portion of the blade is entirely within the handle when the knife is closed. It would also make it a double edged knife in the eyes of the law in some places, usually places where double-edged knives are illegal.