English

Cardinal arithmetic and Woodin cardinals

Logic 2007-05-23 v1

Abstract

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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Cite

@article{arxiv.math/0203081,
  title  = {Cardinal arithmetic and Woodin cardinals},
  author = {Ralf Schindler},
  journal= {arXiv preprint arXiv:math/0203081},
  year   = {2007}
}

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6 pages