无选择集合论中等腰三角形的着色

IF 0.5 3区数学 Q3 LOGIC

Journal of Symbolic Logic Pub Date : 2023-09-11 DOI:10.1017/jsl.2023.63

Yuxin Zhou

引用次数: 0

摘要

摘要ZF+DC相对于不可达基数是一致的，并且$\mathbb {R}^2$上的等腰三角形超图具有可数的色数，而$\mathbb {R}^3$上的等腰三角形超图具有不可数的色数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Coloring isosceles triangles in choiceless set theory

Abstract It is consistent relative to an inaccessible cardinal that ZF+DC holds, and the hypergraph of isosceles triangles on $\mathbb {R}^2$ has countable chromatic number while the hypergraph of isosceles triangles on $\mathbb {R}^3$ has uncountable chromatic number.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Symbolic Logic 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal of Symbolic Logic publishes research in mathematical logic and its applications of the highest quality. Papers are expected to exhibit innovation and not merely be minor variations on established work. They should also be of interest to a broad audience. JSL has been, since its establishment in 1936, the leading journal in the world devoted to mathematical logic. Its prestige derives from its longevity and from the standard of submissions -- which, combined with the standards of reviewing, all contribute to the fact that it receives more citations than any other journal in logic.