超功率公理和GCH

IF 0.9 1区数学 Q1 LOGIC

Journal of Mathematical Logic Pub Date : 2020-10-27 DOI:10.1142/s0219061321500173

G. Goldberg

引用次数: 1

摘要

超功率公理是一个抽象的组合原理，灵感来自于大基本公理的规范内模型的精细结构。本文证明了超幂公理意味着广义连续统假设在最小超紧基数以上成立。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Ultrapower Axiom and the GCH

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.

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来源期刊

Journal of Mathematical Logic MATHEMATICS-LOGIC

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Logic (JML) provides an important forum for the communication of original contributions in all areas of mathematical logic and its applications. It aims at publishing papers at the highest level of mathematical creativity and sophistication. JML intends to represent the most important and innovative developments in the subject.