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Apr 18, 2020 at 2:12 comment added Todd Eisworth I do not have access to all of my materials because I am working from home, but there is discussion in the paper I referenced above, see Conjecture 1.10 and the subsequent pages. The idea is that if $\kappa$ is a weakly inaccessible limit point of $pcf(A)$, then you can force (via a mild forcing) a function $f\in\prod pcf(A)\cap\kappa$ dominating the ground model elements of the product.
Apr 17, 2020 at 21:50 comment added Sho Banno What is the idea used to force the existence of progressive $A$ such that $\text{pcf}\ \text{pcf}\ A\not=\text{pcf}\ A$ from a progressive $B$ with a regular limit point? and where the proof can be found?
Apr 17, 2020 at 21:45 vote accept Sho Banno
Apr 17, 2020 at 17:59 history answered Todd Eisworth CC BY-SA 4.0