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arxiv: math/0405081 · v1 · submitted 2004-05-05 · 🧮 math.LO

Preserving Preservation

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keywords preservationrealssuslincountableforcinggeneralgeneralizationgive
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We present preservation theorems for countable support iteration of nep forcing notions satisfying ``old reals are not Lebesgue null'' and ``old reals are not meager''. (Nep is a generalization of Suslin proper.) We also give some results for general Suslin ccc ideals.

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