NON-MEAGER FREE SETS FOR MEAGER RELATIONS ON POLISH SPACES

被引：3
|
作者：
Banakh, Taras [1 ,2 ]
Zdomskyy, Lyubomyr [3 ]
机构：
[1] Ivan Franko Natl Univ Lviv, Dept Math, Lvov, Ukraine
[2] Jan Kochanowski Univ, Inst Matemat, Kielce, Poland
[3] Univ Vienna, Ctr Math Log, A-1090 Vienna, Austria
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 06期
关键词：
Meager relation; free set;
D O I：
10.1090/S0002-9939-2015-12419-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for each meager relation E subset of X x X on a Polish space X there is a nowhere meager subspace F subset of X which is E-free in the sense that (x, y) is not an element of E for any distinct points x, y is an element of F.
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页码：2719 / 2724
页数：6
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