L'espace des sous-groupes ferm\'es de RxZ
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🧮 math.GR
math.GT
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groupclosedspacetopologycalledchabautycompactcompletely
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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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