English

Preserving Preservation

Logic 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0405081,
  title  = {Preserving Preservation},
  author = {Jakob Kellner and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/0405081},
  year   = {2007}
}