A BOREL LINEAR SUBSPACE OF Rω THAT CANNOT BE COVERED BY COUNTABLY MANY CLOSED HAAR-MEAGER SETS

被引：0

作者：

Banakh, Taras ^{[1
,2
]}

Jablonska, Eliza ^{[3
]}

机构：

[1] Ivan Franko Univ Lviv, Lvov, Ukraine

[2] Jan Kochanowski Univ Kielce, Kielce, Poland

[3] AGH Univ Krakow, Fac Appl Math, Mickiewicza 30, PL-30059 Krakow, Poland

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2024年 / 63卷 / 01期

关键词：

Additive function; mid-convex function; continuity; Haar-null set; Haar-meager set; null-finite set; Haar-thin set; Polish Abelian group; Ger-Kuczma classes;

D O I：

10.12775/TMNA.2023.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the countable product of lines contains a Haarnull Haar -meager Borel linear subspace L that cannot be covered by countably many closed Haar -meager sets. This example is applied to studying the interplay between various classes of "large" sets and Kuczma-Ger classes in the topological vector spaces R n for n <= omega .

引用

页码：197 / 208

页数：12