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  1. Changing cardinal characteristics without changing ω-sequences or cofinalities.Heike Mildenberger & Saharon Shelah - 2000 - Annals of Pure and Applied Logic 106 (1-3):207-261.
    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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  • The special Aronszajn tree property.Mohammad Golshani & Yair Hayut - 2019 - Journal of Mathematical Logic 20 (1):2050003.
    Assuming the existence of a proper class of supercompact cardinals, we force a generic extension in which, for every regular cardinal [Formula: see text], there are [Formula: see text]-Aronszajn trees, and all such trees are special.
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