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arXiv 2103.02757math.LO
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在三维空间中对距离图着色

Coloring the distance graph in three dimensions

Jindrich Zapletal

摘要:

设Gn是n维欧几里得空间上连通有理欧氏距离点的图。ZF+DC具有一个不可达基数,G3具有可数色数,而G4具有不可数色数.

英文摘要:

Let Gn be the graph on n-dimensional Euclidean space connecting points of rational Euclidean distance. It is consistent relative to an inaccessible cardinal that ZF+DC holds and G3 has countable chromatic number, yet G4 has uncountable chromatic number.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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