A characterisation of the circle group

نویسنده

  • Wojciech Chojnacki
چکیده

We show that if G is a compact connected Abelian group such that, for some n ∈ N and some closed subgroup H of G(n) = {a ∈ G | na = 0}, the set G \H is disconnected, then G is topologically isomorphic with the circle group T.

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تاریخ انتشار 1998