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Cardinal arithmetic and Woodin cardinals

Ralf Schindler

math.LOarXiv:math/0203081

Abstract

Suppose that there is a measurable cardinal. If ωis a strong limit cardinal, but the power of ωis bigger than ω1, then there is an inner model with a Woodin cardinal. Modulo the need of the measurable cardinal this answers a question of Gitik and Mitchell.

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