Ramified forcing

Ramified forcing is a method in set theory, particularly in the context of forcing and cardinals, used to create new sets with specific properties. It is a more intricate form of traditional forcing, designed to handle certain situations where standard forcing techniques may not suffice, especially in the context of constructing models of set theory or analyzing the properties of large cardinals. The concept of ramified forcing often involves a hierarchical approach to the forcing construction, where one levels the conditions and the models involved.