NNR Revisited

Mohammad Golshani; Saharon Shelah

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NNR Revisited

Mohammad Golshani·Saharon Shelah

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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.

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BibTeX RIS

Mohammad Golshani, Saharon Shelah. 2000-03-20. NNR Revisited. https://arxiv.org/abs/math/0003115

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