The Ultrapower Axiom implies GCH above a supercompact cardinal
Logic
2018-10-12 v1
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.
Cite
@article{arxiv.1810.05036,
title = {The Ultrapower Axiom implies GCH above a supercompact cardinal},
author = {Gabriel Goldberg},
journal= {arXiv preprint arXiv:1810.05036},
year = {2018}
}