The Ultrapower Axiom is an abstract combinatorial principle inspired by the fine structure of canonical inner models of large cardinal axioms. In this paper, it is established that the Ultrapower Axiom implies that the Generalized Continuum Hypothesis holds above the least supercompact cardinal.

中文翻译：

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超强公理和 GCH

Ultrapower Axiom 是一个抽象的组合原理，其灵感来自大基数公理的规范内部模型的精细结构。在本文中，确定了超强公理意味着广义连续统假设在最小超紧基数之上成立。