Coloring closed Noetherian graphs

IF 0.9 1区数学 Q1 LOGIC

Journal of Mathematical Logic Pub Date : 2022-03-04 DOI:10.1142/s0219061323500101

J. Zapletal

引用次数: 1

Abstract

If [Formula: see text] is a closed Noetherian graph on a [Formula: see text]-compact Polish space with no infinite cliques, it is consistent with the choiceless set theory ZF[Formula: see text][Formula: see text][Formula: see text]DC that [Formula: see text] is countably chromatic and there is no Vitali set.

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闭noether图的着色

如果[公式：见文本]是[公式：看文本]-紧波兰空间上没有无限集团的闭Noetherian图，则与无选择集理论ZF[公式：见图文本][公式：看看文本][方程式：见文本]DC一致，[公式：看到文本]是可数色的，不存在Vitali集。

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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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.