Preserving Preservation

Mathematics – Logic

Scientific paper

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Scientific paper

10.2178/jsl/1122038920

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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