Hi, does it make sense to posit a curved (hall of mirrors type) space without higher dimensions? In other words, if I say we live in a 3 dimensional torus shaped universe, does that statement(adsbygoogle = window.adsbygoogle || []).push({}); necessarilyentail there's at least a 4 dimensional overall hyperspace? Or can I have a torus curved into itselfby itself, without it being in a higher dimensional context?

Thanks!

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# Topology question

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