Borel Chain Conditions of Borel Posets

被引：0
|
作者：
Xiao, Ming [1 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
来源：
MATHEMATICS | 2023年 / 11卷 / 15期
基金：
中国国家自然科学基金;
关键词：
mathematical logic; set theory; descriptive set theory; descriptive combinatorics; HORN;
D O I：
10.3390/math11153349
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the coarse classification of partial orderings using chain conditions in the context of descriptive combinatorics. We show that (unlike the Borel counterpart of many other combinatorial notions), we have a strict hierarchy of different chain conditions, similar to the classical case.
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页数：8
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