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arXiv · 2108.09850

Krull dimension in set theory

Jindrich Zapletal
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Abstract

Let n>1 be a number. Let Gn be the hypergraph of all rectangles in an n-dimensional Euclidean space. It is consistent that ZF+DC holds, the chromatic number of Gn is countable, yet the chromatic number of Gn+1 is uncountable.

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Jindrich Zapletal. 2021-08-22. Krull dimension in set theory. https://arxiv.org/abs/2108.09850

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