# Sh:656

• Golshani, M., & Shelah, S. NNR Revisited. Preprint. arXiv: math/0003115
• Abstract:
We are interested in proving that if we use countable support iterations of forcing notions not adding reals that satisfy additional conditions, then the limit forcing does not add reals. As a result we prove that we can amalgamate two earlier methods and prove the consistency with ZFC + GCH of two statements gotten separately earlier: SH and non-club guessing. We also prove the consistency of further cases of “strong failure of club guessing" with GCH. These results answer two questions of Justin Moore, in particular, it follows that one can force the Measuring principle without adding any new reals.
• Version 2021-07-04 (83p)
Bib entry
@article{Sh:656,
author = {Golshani, Mohammad and Shelah, Saharon},
title = {{NNR Revisited}},
note = {\href{https://arxiv.org/abs/math/0003115}{arXiv: math/0003115}},
arxiv_number = {math/0003115}
}