Changing cardinal characteristics without changing ω-sequences or cofinalities Original Research Article

We show: There are pairs of universes View the MathML source and there is a notion of forcing View the MathML source such that the change mentioned in the title occurs when going from View the MathML source to View the MathML source for a P-generic filter G over View the MathML source. We use forcing iterations with partial memories. Moreover, we implement highly transitive automorphism groups into the forcing orders.