Published online by Cambridge University Press: 12 March 2014
A fairly quotable special, but still representative, case of our main result is that for 2 ≤ n < ω, there is a natural number m(n) such that, the following holds. Assume GCH: If λ < μ are regular, there is a cofinality preserving forcing extension in which 2λ = μ and, for all σ < λ ≤ κ < η such that η(+m(n)−+) ≤ μ,
This generalizes results of , Section 1. and the forcing is a “many cardinals” version of the forcing there.
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