Corpus ID: 119721947

Non-elementary proper forcing notions

  title={Non-elementary proper forcing notions},
  author={Saharon Shelah},
  • Saharon Shelah
  • Published 1997
  • Mathematics
  • We present reasons for developing a theory of forcing notions which satisfy the properness demand for countable models which are not necessarily elementary submodels of some (H(chi), in). This leads to forcing notions which are ``reasonably'' definable. We present two specific properties materializing this intuition: nep (non-elementary properness) and snep (Souslin non-elementary properness). For this we consider candidates (countable models to which the definition applies), and the older… CONTINUE READING