Small-large subgroups of locally compact Abelian Polish groups

被引:0
作者
Poor, Mark [1 ]
机构
[1] Eotvos Lorand Univ, Inst Math, Pazmany Peter S 1-C, H-1117 Budapest, Hungary
关键词
Locally compact; Polish group; Haar measure; Meager; Haar-null; SETS;
D O I
10.1016/j.jmaa.2019.03.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In [10] Roslanowski and Shelah asked whether every locally compact non-discrete group has a null but non-meager subgroup. In this paper we give an affirmative answer in the Polish Abelian case. (C) 2019 Published by Elsevier Inc.
引用
收藏
页码:345 / 356
页数:12
相关论文
共 12 条
[1]  
[Anonymous], 1979, Abstract Harmonic Analysis
[2]   Topological Hausdorff dimension and level sets of generic continuous functions on fractals [J].
Balka, Richard ;
Buczolich, Zoltan ;
Elekes, Marton .
CHAOS SOLITONS & FRACTALS, 2012, 45 (12) :1579-1589
[3]  
Bartoszynski T., 1995, SET THEORY STRUCTURE
[4]  
Burke M. R., 1991, THEOREM FRIEDMAN REC
[5]   SETS OF HAAR MEASURE ZERO IN ABELIAN POLISH GROUPS [J].
CHRISTENSEN, JP .
ISRAEL JOURNAL OF MATHEMATICS, 1972, 13 (3-4) :255-260
[6]   Covering locally compact groups by less than 2ω many translates of a compact nullset [J].
Elekes, Marton ;
Toth, Arpad .
FUNDAMENTA MATHEMATICAE, 2007, 193 (03) :243-257
[7]  
Fremlin David, 2003, Measure Theory, V4
[8]  
Kechris A S., 1995, Classical Descriptive Set Theory
[9]  
Poor M., 2016, ARXIV161000614
[10]   SMALL-LARGE SUBGROUPS OF THE REALS [J].
Roslanowski, Andrzej ;
Shelah, Saharon .
MATHEMATICA SLOVACA, 2018, 68 (03) :473-484