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Talk:String group

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Latest comment: 10 months ago by Niesocja in topic Dimension restriction

Dimension restriction

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I think, this needs a dimension restriction of at least . Otherwise is a point or circle implying that it does not have a third homotopy group to be killed.  Preceding unsigned comment added by 2A00:1398:9:FB03:DD1E:DEBC:DD79:8DD0 (talk) 14:16, 15 October 2019 (UTC)Reply

There seems to be an obvious counterexample since $\pi_3 (S^1 \times S^1)$ is trivial, for compact Lie group  Preceding unsigned comment added by Niesocja (talkcontribs) 15:01, 1 September 2025 (UTC)Reply