Krull dimension in set theory

被引：2
|
作者：
Zapletal, Jindrich [1 ]
机构：
[1] Univ Florida, 358 Little Hall, Gainesville, FL 32611 USA
来源：
ANNALS OF PURE AND APPLIED LOGIC | 2023年 / 174卷 / 09期
关键词：
Forcing; Krull dimension; Chromatic number; Euclidean combinatorics; Geometric set theory;
D O I：
10.1016/j.apal.2023.103299
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For every number n & GE; 2, let & UGamma;n be the hypergraph on Rn of arity four consisting of all non-degenerate Euclidean rectangles. It is consistent with ZF+DC set theory that the chromatic number of & UGamma;n is countable while that of & UGamma;n+1 is not.& COPY; 2023 Elsevier B.V. All rights reserved.
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页数：16
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