For a beginner (as I am since a long time), it is convenient to conceptualize curved spaces as embedded within a familar flat space with more dimensions.(adsbygoogle = window.adsbygoogle || []).push({});

Of course the intrinsic point of view is more elegant and suffice to itself. Nevertheles, I am asking this question: are there some curved spaces that cannot be considered as a surface embedded in some higher dimensional space?

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# Could any curved space be a cut in a higher-dimensional flat space ?

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