The space of subgroups of an abelian group

Details The space of subgroups of an abelian group The space of subgroups of an abelian group

2008-11-10

arxiv.org/abs/0811.1549v2

J. London Math. Soc. 81(3) (2010) 727-746

Mathematics

Group Theory

22 pages, no figure

Scientific paper

10.1112/jlms/jdq016

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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