Shooting A Club With Finite Conditions
For S a stationary subset of we set P equal to the set of finite sets of pairs of countable ordinals, such that if and then and, and whenever 
and are distinct elements of p then either or . P is ordered by reverse inclusion. In, we have that 
is a closed unbounded subset of S and all cardinals are preserved.
Read more about this topic: List Of Forcing Notions
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