More forcing notions imply diamond

Details More forcing notions imply diamond More forcing notions imply diamond

1994-08-15

arxiv.org/abs/math/9408215v1

Arch. Math. Logic 35 (1996), 299--313

Mathematics

Logic

Scientific paper

We prove that the Sacks forcing collapses the continuum onto the dominating
number d, answering the question of Carlson and Laver. Next we prove that if a
proper forcing of the size at most continuum collapses omega_2 then it forces
diamond_{omega_1} .

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