Also see Edge Metal.

Metal coping, or cap flashing, being removed from a parapet wall. 

Camelback terra-cotta coping on brick wall.

Useful Links:

1. Building Codes: "R903.3 Coping" from the 2015 International Residential Code and "1503.3 Coping" from the 2015 International Building Code. Both available on the UpCodes website.

2. TechnicalMetal coping construction details can be seen at the Copper Development Association website. The article is very clear and gives you a quick understanding of the subject.

3. TechnicalSee this helpful page for technical information that will give you a pretty good understanding of continuous cleat coping at the Petersen Aluminum website.

4. TechnicalSee here for technical information about clay wall coping. That's at the website of the Logan Clay Products Company.