On the Chabauty space of locally compact abelian groups
Copyright policy )On the Chabauty space of locally compact abelian groups
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
- Laboratoire de Mathématiques France
- University of Paris-Sud France
- University of Paris-Saclay France
Connected and locally connected spaces (general aspects), Chains and lattices of subgroups, subnormal subgroups, 20E15, locally compact abelian groups, General properties and structure of LCA groups, Group Theory (math.GR), orthogonal map, 54F45, Dimension theory in general topology, 54D05, Chabauty topology, Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups, locally compact Abelian groups, FOS: Mathematics, Primary 22B05, Secondary 20E15, 43A25, 54D05, 54F45, 22B05, Mathematics - Group Theory, 43A25
Connected and locally connected spaces (general aspects), Chains and lattices of subgroups, subnormal subgroups, 20E15, locally compact abelian groups, General properties and structure of LCA groups, Group Theory (math.GR), orthogonal map, 54F45, Dimension theory in general topology, 54D05, Chabauty topology, Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups, locally compact Abelian groups, FOS: Mathematics, Primary 22B05, Secondary 20E15, 43A25, 54D05, 54F45, 22B05, Mathematics - Group Theory, 43A25
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