L'espace des sous-groupes ferm\'es de RxZ
Group Theory
2014-10-01 v1 Geometric Topology
Abstract
The space of closed subgroups of a locally compact topological group is endowed with a natural topology, called the Chabauty topology. We completely describe the space of closed sugroups of the group RxZ, which is not trivial : for example, its fundamental group is uncountable.
Cite
@article{arxiv.0905.3290,
title = {L'espace des sous-groupes ferm\'es de RxZ},
author = {Thomas Haettel},
journal= {arXiv preprint arXiv:0905.3290},
year = {2014}
}
Comments
21 pages, en francais