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Question Number 165756 by CrispyXYZ last updated on 07/Feb/22

$$\mathrm{Let}M\mathrm{be}\mathrm{a}\mathrm{compact}\mathrm{smooth}\mathrm{manifold}\mathrm{of}\mathrm{dimension}d.$$$$\mathrm{Prove}\mathrm{that}\mathrm{there}\mathrm{exists}\mathrm{some}n\in {\mathbb{Z}}^{+}\mathrm{such}\mathrm{that}M\mathrm{can}\mathrm{be}\mathrm{regularly}\mathrm{embedded}\mathrm{in}\mathrm{the}\mathrm{Euclidean}\mathrm{space}{\mathbb{R}}^n.$$

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