Changing cardinal characteristics without changing omega-sequences or cofinalities
Heike Mildenberger, Saharon Shelah
Abstract
We show: There are pairs of universes V1 subseteq V2 and there is a notion of forcing P in V1 such that the change mentioned in the title occurs when going from V1[G] to V2[G] for a P-generic filter G over V2. We use forcing iterations with partial memories. Moreover, we implement highly transitive automorphism groups into the forcing orders.
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