For $n > 2$, is it possible to embed $\underbrace{S^1 \times \cdots \times S^1}_{n\text{ times}}$ into $\mathbb R^{n+1}$?
Embedding torus in Euclidean space
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algebraic-topology
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0It seems like you should be able to prove this more or less by induction. – 2010-11-30