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9 votes
2 answers
385 views

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 ...
Monroe Eskew's user avatar
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3 votes
0 answers
149 views

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?
dragoon's user avatar
  • 791