Limestone Coping is the limestone cap on the edge of a swimming pool or spa which is mounted on the bond beam. Or it is often referred to as the top layer or course of a masonry wall, usually having a slanting upper surface to shed water; a cope. Coping can be in any thickness & it can have various edge treatments. Treatments commonly used are eased edge, demi-bullnosed, single or double bullnose depending on the design intent.
If you are look for a modern look- consider a 2 inch eased edge Indiana Limestone pool coping. If old world is more your style look for a 5 inch thick split face Hemingway pool coping.