| HAL: hal-00536455, version 1 |
| arXiv: 0811.1549 |
| DOI: 10.1112/jlms/jdq016 |
| Detailed view | Export this paper |
|
|
| Journal of the London Mathematical Society 81 (2010) 727-746 |
|
|
|
|
| The space of subgroups of an abelian group |
|
|
| Yves de Cornulier 1Luc Guyot 2 |
|
|
| (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 | |
|
|
|
|
|
|
|
|
| Subject | : | Mathematics/Group Theory |
|
|
| Abelian group – Cantor-Bendixson analysis |
|
|
| Fulltext link: |
| hal-00536455, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00536455 | |
| oai:hal.archives-ouvertes.fr:hal-00536455 | |
| From: Marie-Annick Guillemer | |
| Submitted on: Tuesday, 16 November 2010 11:37:21 | |
| Updated on: Tuesday, 16 November 2010 11:37:21 | |