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paper

Preserving Preservation

arXiv:math/0405081 · doi:10.2178/jsl/1122038920

Abstract

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.