L'espace des sous-groupes fermés de RxZ

Details L'espace des sous-groupes fermés de RxZ L'espace des sous-groupes fermés de RxZ

2009-05-20

arxiv.org/abs/0905.3290v1

Mathematics

Group Theory

21 pages, en francais

Scientific paper

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.

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