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I want to know if any smooth manifold in n-dimensional euclidean space can be compact or not.

If it is possible, then could you give me an example about that?

I also want to comfirm whether a cylinder having finite volume in 3-dimensional euclidean space can be a smooth manifold.

I hope to receive your reply soon. Thank you . Have a nice day!!

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# Homework Help: Smooth manifolds

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