Changing cardinal characteristics without changing $\omega$--sequences or cofinalities

by Mildenberger and Shelah. [MdSh:684]
Annals Pure and Applied Logic, 2000
We show: There are pairs of universes V_1 subseteq V_2 and there is a notion of forcing P in V_1 such that the change mentioned in the title occurs when going from V_1[G] to V_2[G] for a P --generic filter G over V_2 . We use forcing iterations with partial memories. Moreover, we implement highly transitive automorphism groups into the forcing orders.


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