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
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.
引用
收藏
页数:16
相关论文
共 50 条