AN OPEN MAPPING THEOREM

被引：1

作者：

Gabriyelyan, Saak S. ^{[1
]}

Morris, Sidney A. ^{[2
,3
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, POB 653, Beer Sheva, Israel

[2] Federat Univ Australia, Fac Sci & Technol, POB 663, Ballarat, Vic 3353, Australia

[3] La Trobe Univ, Dept Math & Stat, Melbourne, Vic 3086, Australia

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2016年 / 94卷 / 01期

关键词：

pro-Lie group; locally compact abelian group; open mapping theorem; PRO-LIE GROUPS;

D O I：

10.1017/S000497271500146X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that any surjective morphism f : Z(k) -> K onto a locally compact group K is open for every cardinal k. This answers a question posed by Hofmann and the second author.

引用

页码：65 / 69

页数：5

共 10 条

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Morris, Sidney A.
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Hofmann, Karl H.
Morris, Sidney A.
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