SMALL-LARGE SUBGROUPS OF THE REALS

被引：2

作者：

Roslanowski, Andrzej ^{[1
]}

Shelah, Saharon ^{[2
,3
]}

机构：

[1] Univ Nebraska, Dept Math, Omaha, NE 68182 USA

[2] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

[3] Rutgers State Univ, Dept Math, New Brunswick, NJ 08854 USA

来源：

MATHEMATICA SLOVACA | 2018年 / 68卷 / 03期

关键词：

null ideal; meager ideal; additive subgroups of the reals; Borel hulls; forcing;

D O I：

10.1515/ms-2017-0117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are interested in subgroups of the reals that are small in one and large in another sense. We prove that, in ZFC, there exists a non-meager Lebesgue null subgroup of R, while it is consistent that there there is no non-null meager subgroup of R. (C) 2018 Mathematical Institute Slovak Academy of Sciences

引用

页码：473 / 484

页数：12

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