On the Chabauty space of locally compact abelian groups

Abstract

This paper contains several results about the Chabauty space of a general locally compact abelian group. Notably, we determine its topological dimension, we characterize when it is totally disconnected or connected; we characterize isolated points.

24 pages, 0 figure

References in corpus (3)

• The space of closed subgroups of $R^n$
• L'espace des sous-groupes fermés de RxZ
• The space of subgroups of an abelian group

Cited by in corpus (1)

• The Chabauty space of ${\mathbb{Q}}_p^{\times }$