Sh:656

• Golshani, M., & Shelah, S. NNR Revisited. Preprint. arXiv: math/0003115
• Abstract:
  We show if we use countable support iteration 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: Souslin hypothesis and non-club guessing. We also answer a question of Justin Moore by proving the consistency of one further case of “strong failure of club guessing" with GCH.
• Version 2021-07-04 (77p)

@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}
}