On the Chabauty space of locally compact abelian groups

Cornulier, Yves¹

¹Laboratoire de Mathématiques, Bâtiment 425, Université Paris-Sud 11, 91405 Orsay, France

Algebraic and Geometric Topology, Tome 11 (2011) no. 4, pp. 2007-2035

Résumé

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.

Détail

DOI : 10.2140/agt.2011.11.2007

Keywords: Chabauty topology, locally compact abelian groups

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