The exponential function of locally connected compact abelian groups

被引：8

作者：

Hofmann, KH

Morris, SA

Poguntke, D

机构：

[1] TU Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany

[2] Univ Ballarat, Sch Informat Technol & Math Sci, Ballarat, Vic 3353, Australia

[3] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

FORUM MATHEMATICUM | 2004年 / 16卷 / 01期

关键词：

D O I：

10.1515/form.2004.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that the following four conditions are equivalent for a compact connected abelian group G: (i) the exponential function of G is open onto its image; (ii) G has arbitrarily small connected direct summands N such that G/N is a finite dimensional torus; (iii) the arc component G(a) of the identity is locally arcwise connected; (iv) the character group (G) over cap is a torsion free group in which every finite rank pure subgroup is free and is a direct summand.

引用

页码：1 / 16

页数：16