CAN IDEALS WITHOUT CCC BE INTERESTING

被引：14

作者：

BALCERZAK, M ^{[1
]}

机构：

[1] UNIV LODZ,INST MATH,PL-90238 LODZ,POLAND

来源：

TOPOLOGY AND ITS APPLICATIONS | 1994年 / 55卷 / 03期

关键词：

IDEAL OF SETS; POLISH SPACE; LARGE BOREL SET;

D O I：

10.1016/0166-8641(94)90040-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study those ideals I of sets in a perfect Polish space X which admit a Borel measurable f : X --> X with f-1[{x}] is-not-an-element-of I for each x is-an-element-of X. A stronger version of that property (when, additionally, X is a group and I an invariant ideal) states that there exist a Borel set B is-not-an-element-of and a perfect P subset-or-equal-to X, such that {B + x: x is-an-element-of P} forms a disjoint family.

引用

页码：251 / 260

页数：10

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