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2011 On the Chabauty space of locally compact abelian groups
Yves Cornulier
Algebr. Geom. Topol. 11(4): 2007-2035 (2011). DOI: 10.2140/agt.2011.11.2007

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.

Citation

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Yves Cornulier. "On the Chabauty space of locally compact abelian groups." Algebr. Geom. Topol. 11 (4) 2007 - 2035, 2011. https://doi.org/10.2140/agt.2011.11.2007

Information

Received: 6 December 2010; Revised: 8 April 2011; Accepted: 9 April 2011; Published: 2011
First available in Project Euclid: 19 December 2017

zbMATH: 1221.22008
MathSciNet: MR2826931
Digital Object Identifier: 10.2140/agt.2011.11.2007

Subjects:
Primary: 22B05
Secondary: 20E15 , 43A25 , 54D05 , 54F45

Keywords: Chabauty topology , locally compact Abelian groups

Rights: Copyright © 2011 Mathematical Sciences Publishers

Vol.11 • No. 4 • 2011
MSP
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