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Tagged with forcing-iterations set-theory
2 questions
9
votes
2
answers
385
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Iteration of $\aleph_2$-properness
Let us say a forcing $P$ is proper for a class of models $\mathcal C$, if for large enough regular $\theta$ and $M \prec H_\theta$ in $\mathcal C$ with $P \in M$, every $p \in P \cap M$ can be ...
3
votes
0
answers
149
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Cohen reals at limit steps in a finite support iteration
Without success, I have been trying to find who was the first to prove the folklore result that any finite support iteration of non-trivial posets adds Cohen reals at limits steps. Does anybody know?