Changing cardinal characteristics without changing ω-sequences or cofinalities

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Annals of Pure and Applied Logic 106 (1-3):207-261 (2000)
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Abstract

We show: There are pairs of universes V1V2 and there is a notion of forcing PV1 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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10.1016/s0168-0072(00)00026-9

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Citations of this work

The cofinality of the saturated uncountable random graph.Steve Warner - 2004 - Archive for Mathematical Logic 43 (5):665-679.

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References found in this work

[Omnibus Review].Thomas Jech - 1992 - Journal of Symbolic Logic 57 (1):261-262.
[Omnibus Review].Kenneth Kunen - 1969 - Journal of Symbolic Logic 34 (3):515-516.
The negation of the singular cardinal hypothesis from o(K)=K++.Moti Gitik - 1989 - Annals of Pure and Applied Logic 43 (3):209-234.

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