# The extension of Manifold

If $M \subset \mathbb R^n$ is a compact smooth manifold with boundary, and ${M_\varepsilon }$ is the closed $\varepsilon$-neighborhood of $M$ in $\mathbb R^n$, then whether for sufficiently small $\varepsilon$, ${M_\varepsilon }$ is a smooth manifold?

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I wouldn't have used such a strong word. The link didn't work for me, (it still doesn't), so I stripped out the 's' from https and the rest of the Google noise, sorry that I overlooked the &tbm=bks modifier. –  t.b. Nov 13 '11 at 1:27