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arXiv · 1810.05036

The Ultrapower Axiom implies GCH above a supercompact cardinal

Gabriel Goldberg
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Abstract

We prove that the Generalized Continuum Hypothesis holds above a supercompact cardinal assuming the Ultrapower Axiom, an abstract comparison principle motivated by inner model theory at the level of supercompact cardinals.

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Gabriel Goldberg. 2018-10-09. The Ultrapower Axiom implies GCH above a supercompact cardinal. https://arxiv.org/abs/1810.05036

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