NNR Revisited

Details NNR Revisited NNR Revisited

2000-03-20

arxiv.org/abs/math/0003115v1

Mathematics

Logic

Scientific paper

We are interested in proving that if we use CS iterations of forcing notions not adding reals and additional conditions then the limit forcing does not add reals. As a result we prove that we can amalgamate two earlier methods and so can prove the consistency with ZFC + G.C.H. of two statements gotten separately earlier: SH and non-club guessing. We also prove the consistency of further cases of ``non-club guessing''.

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