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Let-M-be-a-compact-smooth-manifold-of-dimension-d-Prove-that-there-exists-some-n-Z-such-that-M-can-be-regularly-embedded-in-the-Euclidean-space-R-n-




Question Number 165756 by CrispyXYZ last updated on 07/Feb/22
Let M be a compact smooth manifold of dimension d.  Prove that there exists some n ∈Z^+  such that M can be regularly embedded in the Euclidean space R^n .
LetMbeacompactsmoothmanifoldofdimensiond.ProvethatthereexistssomenZ+suchthatMcanberegularlyembeddedintheEuclideanspaceRn.

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