Resolvability of A-, CA- and PCA-sets in compacta

被引：4

作者：

Malykhin, VI ^{[1
]}

机构：

[1] STATE ACAD MANAGEMENT,MOSCOW 109542,RUSSIA

来源：

TOPOLOGY AND ITS APPLICATIONS | 1997年 / 80卷 / 1-2期

关键词：

A-sets; CA-sets; PCA-sets; resolvability; compact space;

D O I：

10.1016/S0166-8641(96)00161-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The resolvability of A-sets of uncountable dispersion character and CA-sets and PCA-sets without isolated points in Hausdorff compacta is proved. Examples of a Hausdorff countably compact irresolvable space, a Hausdorff sigma-compact irresolvable space of uncountable dispersion character and two sigma-compact Tychonoff spaces whose difference is an irresolvable space of uncountable dispersion character are constructed. A number of problems are raised. (C) 1997 Elsevier Science B.V.

引用

页码：161 / 167

页数：7