publication . Other literature type . Article . Preprint . 2011

On the Chabauty space of locally compact abelian groups

Cornulier, Yves;
Open Access English
  • Published: 20 Jul 2011
  • Publisher: MSP
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.
Subjects
free text keywords: Chabauty topology, locally compact abelian groups, 22B05, 20E15, 43A25, 54D05, 54F45, Mathematics - Group Theory, Primary 22B05, Secondary 20E15, 43A25, 54D05, 54F45, Geometry and Topology
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