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arXiv · 1905.10340

Tall cardinals in extender models

Gabriel Fernandes·Ralf Schindler
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Abstract

Assuming that there is no inner model with a Woodin cardinal, we obtain a characterization of $\lambda$-tall cardinals in extender models that are iterable. In particular we prove that in such extender models, a cardinal $\kappa$ is a tall cardinal if and only if it is either a strong cardinal or a measurable limit of strong cardinals.

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Gabriel Fernandes, Ralf Schindler. 2019-05-24. Tall cardinals in extender models. https://arxiv.org/abs/1905.10340

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