Krull dimension in set theory
Logic
2021-08-24 v1
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.
Keywords
Cite
@article{arxiv.2108.09850,
title = {Krull dimension in set theory},
author = {Jindrich Zapletal},
journal= {arXiv preprint arXiv:2108.09850},
year = {2021}
}