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The Ultrapower Axiom implies GCH above a supercompact cardinal

2018/10/09 by Goldberg, Gabriel
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1810.05036

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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