Consider, $M$, a smooth $m$ dimensional submanifold of $\mathbf R^n$. Does there exist a smooth map $X: \mathbf{R}^m\to\mathbf R^n$ such that $M$ is the image of $X$?
2026-03-30 13:53:46.1774878826
Can a smooth manifold be realised as the image of a smooth function?
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