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

共 17 条

[1]

Adian S. I., 1980, LECT NOTES MATH, V806, P1

[2]

ARKHANGE.AV, 1967, DOKL AKAD NAUK SSSR+, V175, P751

[3]

Comfort W. W., 1993, MATH JPN, V3, P413

[4]

Comfort W. W., 1988, DISS MATH, V272

[5] SOME TOPOLOGICAL-GROUPS WITH, AND SOME WITHOUT, PROPER DENSE SUBGROUPS [J].

COMFORT, WW ;

VANMILL, J .

TOPOLOGY AND ITS APPLICATIONS, 1991, 41 (1-2) :3-15

[6]

COMFORT WW, 1992, TOPOLOGICAL GROUPS S, P57

[7]

COMFORT WW, 1992, IN PRESS 8TH P SUMM

[8]

Fuchs L., 1970, INFINITE ABELIAN GRO

[9]

HESSE G, 1979, THESIS U HANNOVER HA

[10]

HEWITT E, 1963, GRUNDLEHREN MATH WIS, V15

← 1 2 →