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Journal of the London Mathematical Society 81 (2010) 727-746
The space of subgroups of an abelian group
Yves de Cornulier 1, Luc Guyot 2, Wolfgang Pitsch 3
(2010)

We carry out the Cantor-Bendixson analysis of the space of all subgroups of any countable abelian group and we deduce a complete classification of such spaces up to homeomorphism.
1:  Institut de Recherche Mathématique de Rennes (IRMAR)
CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne
2:  Mathematisches Institut
Georg-August-Universität Göttingen
3:  Universitat Autònoma de Barcelona (UAB)
Universitat Autónoma de Barcelona
Mathematics/Group Theory
Abelian group – Cantor-Bendixson analysis
Fulltext link: 
http://fr.arXiv.org/abs/0811.1549