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.

引用

页数：64

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