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New reals: Can live with them, can live without them

Martin Goldstern & Jakob Kellner

Mathematical Logic Quarterly 52 (2):115-124 (2006)

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(1 other version)Preserving Preservation.Jakob Kellner & Saharon Shelah - 2005 - Journal of Symbolic Logic 70 (3):914 - 945.details We prove that the property "P doesn't make the old reals Lebesgue null" is preserved under countable support iterations of proper forcings, under the additional assumption that the forcings are nep (a generalization of Suslin proper) in an absolute way. We also give some results for general Suslin ccc ideals. Download Export citation Bookmark 4 citations
A short proof of the preservation of the ωω‐bounding property.Chaz Schlindwein - 2004 - Mathematical Logic Quarterly 50 (1):29-32.details There are two versions of the Proper Iteration Lemma. The stronger version can be used to give simpler proofs of iteration theorems . In this paper we give another demonstration of the fecundity of the stronger version by giving a short proof of Shelah's theorem on the preservation of the ωω-bounding property. Download Export citation Bookmark 3 citations

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