Cardinal arithmetic and Woodin cardinals

Details Cardinal arithmetic and Woodin cardinals Cardinal arithmetic and Woodin cardinals

2002-03-08

arxiv.org/abs/math/0203081v1

Mathematics

Logic

6 pages

Scientific paper

Suppose that there is a measurable cardinal. If \aleph_\omega is a strong
limit cardinal, but the power of \aleph_\omega is bigger than
\aleph_{\omega_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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