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S.-D. Friedman, M. Magidor (2009)
The number of normal measuresJ. Symb. Log., 74
K. Kunen (1970)
Some application of iterated ultrapowers in set theoryAnn. Math. Log., 1
K. Kunen, J.B. Paris (1970)
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M. Magidor (1976)
How large is the first strongly compact cardinal? or A study on identity crisisAnn. Math. Log., 10
We study the Magidor iteration of Prikry forcings, and the resulting normal measures on $${\kappa}$$ κ , the first measurable cardinal in a generic extension. We show that when applying the iteration to a core model below $${0^{\P}}$$ 0 ¶ , then there exists a natural correspondence between the normal measures on $${\kappa}$$ κ in the ground model, and those of the generic extension.
Archive for Mathematical Logic – Springer Journals
Published: Mar 29, 2014
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