Hypergraphs and proper forcing

被引：1
|
作者：
Zapletal, Jindrich [1 ,2 ]
机构：
[1] Univ Florida, Dept Math, 358 Little Hall, Gainesville, FL 32611 USA
[2] Acad Sci Czech Republ, Inst Math, Zitna 25, Prague 11567 1, Czech Republic
来源：
JOURNAL OF MATHEMATICAL LOGIC | 2019年 / 19卷 / 02期
基金：
美国国家科学基金会;
关键词：
Hypergraph; proper forcing; SETS;
D O I：
10.1142/S0219061319500077
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a Polish space X and a countable collection of analytic hypergraphs on X, I consider the sigma-ideal generated by Borel anticliques for the hypergraphs in the family. It turns out that many of the quotient posets are proper. I investigate the forcing properties of these posets, certain natural operations on them, and prove some related dichotomies.
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页数：64
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