GROUPS WITH ONLY RESOLVABLE GROUP TOPOLOGIES

被引：23

作者：

COMFORT, WW ^{[1
]}

VANMILL, J ^{[1
]}

机构：

[1] FREE UNIV AMSTERDAM, FAC WISKUNDE INFORMAT, 1081 HV AMSTERDAM, NETHERLANDS

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 120卷 / 03期

关键词：

DENSE SUBSET; RESOLVABLE TOPOLOGICAL SPACE; STRONGLY RESOLVABLE GROUP; BOOLEAN GROUP; EXTREMALLY DISCONNECTED SPACE; EXTREMALLY DISCONNECTED TOPOLOGICAL GROUP; MAXIMAL TOPOLOGY; ABELIAN GROUP; DIVISIBLE HULL;

D O I：

10.2307/2160457

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Adapting terminology suggested by work of E. Hewitt [Duke Math. J. 10 (1943), 309-333), we say that a group G is strongly resolvable if for every nondiscrete Hausdorff group topology F on G there is D subset-or-equal-to G such that both D and G\D are F-dense in G.

引用

页码：687 / 696

页数：10