More on: the revised GCH and middle diamond

Details More on: the revised GCH and middle diamond More on: the revised GCH and middle diamond

2004-06-23

arxiv.org/abs/math/0406482v1

Mathematics

Logic

Scientific paper

We strengthen the revised GCH theorem by showing, e.g., that for lambda=cf(lambda)>beth_omega, for all but finitely many regular kappabeth_omega implies the diamond on lambda is restricted to cofinality kappa for all but finitely many kappa in Reg cap beth_omega and we strengthen the results on the middle diamond. Moreover, we get stronger results on the middle diamond.

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