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arxiv: 0811.1549 · v2 · pith:OMPKNEKFnew · submitted 2008-11-10 · 🧮 math.GR

The space of subgroups of an abelian group

classification 🧮 math.GR
keywords abeliangroupspacesubgroupsanalysiscantor-bendixsoncarryclassification
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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.

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