Analytic Hausdorff gaps II: The density zero ideal

被引：14

作者：

Farah, Ilijas

机构：

[1] York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada

[2] Inst Math, Belgrade, Serbia

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2006年 / 154卷 / 1期

关键词：

American Mathematical Society; Force Notion; Infinite Subset; Density Ideal; Measure Algebra;

D O I：

10.1007/BF02773608

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove two results about the quotient over the asymptotic density zero ideal. First, it is forcing equivalent to P(N)/Fin(*)(c)(R), where R-c is the homogeneous probability measure algebra of character c. Second, if it has analytic Hausdorff gaps, then they look considerably different from previously known gaps of this form.

引用

页码：235 / 246

页数：12

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