Cardinal arithmetic and Woodin cardinals

Ralf Schindler

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Cardinal arithmetic and Woodin cardinals

Ralf Schindler

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Abstract

Suppose that there is a measurable cardinal. If \aleph_ωis a strong limit cardinal, but the power of \aleph_ωis bigger than \aleph_{ω_1}, 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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BibTeX RIS

Ralf Schindler. 2002-03-08. Cardinal arithmetic and Woodin cardinals. https://arxiv.org/abs/math/0203081

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