The space of subgroups of an abelian group
Group Theory
2010-09-07 v2
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.
Keywords
Cite
@article{arxiv.0811.1549,
title = {The space of subgroups of an abelian group},
author = {Yves de Cornulier and Luc Guyot and Wolfgang Pitsch},
journal= {arXiv preprint arXiv:0811.1549},
year = {2010}
}
Comments
22 pages, no figure