Katětov order on Borel ideals

被引：0
|
作者：
Michael Hrušák
机构：
[1] UNAM,Instituto de Matemáticas
来源：
Archive for Mathematical Logic | 2017年 / 56卷
关键词：
Filter; Ideal; Katětov order; Category dichotomy; Measure dichotomy; Primary and Secondary: 03E15; 03E17; 03E05; 03E35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the Katětov order on Borel ideals. We prove two structural theorems (dichotomies), one for Borel ideals, the other for analytic P-ideals. We isolate nine important Borel ideals and study the Katětov order among them. We also present a list of fundamental open problems concerning the Katětov order on Borel ideals.
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收藏
页码：831 / 847
页数：16
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