More on: the revised GCH and middle diamond
Abstract
We strengthen the revised GCH theorem by showing, e.g., that for lambda=cf(lambda)>bethomega, for all but finitely many regular kappa<bethomega, lambda is accessible on cofinality kappa in a weak version of it holds. In particular, lambda=2mu=mu+>bethomega implies the diamond on lambda is restricted to cofinality kappa for all but finitely many kappa in Reg cap bethomega and we strengthen the results on the middle diamond. Moreover, we get stronger results on the middle diamond.
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