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.

引用

页码：2719 / 2724

页数：6

共 50 条

[1] NON-MEAGER FREE SETS AND INDEPENDENT FAMILIES
Medini, Andrea
Repovs, Dusan
Zdomskyy, Lyubomyr
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (09) : 4061 - 4073
[2] Preimages of totally non-meager spaces
Bouziad, A
[J]. FUNDAMENTA MATHEMATICAE, 1997, 153 (02) : 191 - 197
[3] PARAMETRIZATIONS OF COANALYTIC SETS WITH RELATIVELY NON-MEAGER SECTIONS
MAULDIN, RD
SRIVASTAVA, SM
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1981, 292 (16): : 743 - 745
[4] Non-separable Banach spaces with non-meager Hamel basis
Banakh, Taras
Dzamonja, Mirna
Halbeisen, Lorenz
[J]. STUDIA MATHEMATICA, 2008, 189 (01) : 27 - 34
[5] Seven characterizations of non-meager P-filters
Kunen, Kenneth
Medini, Andrea
Zdomskyy, Lyubomyr
[J]. FUNDAMENTA MATHEMATICAE, 2015, 231 (02) : 189 - 208
[6] NON-MEAGER P-FILTERS ARE COUNTABLE DENSE HOMOGENEOUS
Hernandez-Gutierrez, Rodrigo
Hrusak, Michael
[J]. COLLOQUIUM MATHEMATICUM, 2013, 130 (02) : 281 - 289
[7] On Haar meager sets
Darji, Udayan B.
[J]. TOPOLOGY AND ITS APPLICATIONS, 2013, 160 (18) : 2396 - 2400
[8] Universally meager sets
Zakrzewski, P
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (06) : 1793 - 1798
[9] On meager function spaces, network character and meager convergence in topological spaces
Banakh, Taras
Mykhaylyuk, Volodymyr
Zdomskyy, Lyubomyr
[J]. COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2011, 52 (02): : 273 - 281
[10] On perfectly meager sets
Bartoszynski, T
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (04) : 1189 - 1195

← 1 2 3 4 5 →