A characterisation of the circle group

• Autores: Wojciech Chojnacki
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 50, Fasc. 3, 1999, págs. 303-310
• Idioma: inglés
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• Resumen

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