The space of subgroups of an abelian group

Yves De Cornulier; Luc Guyot; Wolfgang Pitsch

doi:10.1112/jlms/jdq016

The space of subgroups of an abelian group

Yves De Cornulier^*, Luc Guyot, Wolfgang Pitsch

^*Corresponding author for this work

Research output: Contribution to journal › Article › Research › peer-review

7 Citations (Scopus)

Abstract

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. © 2010 London Mathematical Society.

Original language	English
Pages (from-to)	727-746
Number of pages	20
Journal	Journal of the London Mathematical Society
Volume	81
Issue number	3
DOIs	https://doi.org/10.1112/jlms/jdq016
Publication status	Published - Jun 2010

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title = "The space of subgroups of an abelian group",

abstract = "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. {\textcopyright} 2010 London Mathematical Society.",

author = "{De Cornulier}, Yves and Luc Guyot and Wolfgang Pitsch",

year = "2010",

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AU - Guyot, Luc

AU - Pitsch, Wolfgang

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AB - 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. © 2010 London Mathematical Society.

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DO - 10.1112/jlms/jdq016

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VL - 81

SP - 727

EP - 746

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

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ER -

The space of subgroups of an abelian group

Abstract

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