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  3. (a) let m be a cr submanifold of rn, and let f : m

(a) Let M be a Cr submanifold of Rn, and let f : M →...

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Advance Math

(a) Let M be a Cr submanifold of Rn, and let f : M → R be a Crfunction. Show
there is an open neighbourhood V of M in Rn and a Cr functiong : V → R such
that f = g|M.
(b) Show that, if M is a closed subset of Rn, then we can takeV = Rn
.
(c) Can we take V = Rn in general? Why or why not?
We've just learned partition of unity ,please don't use anyhigh-level therom!!

Answer & Explanation Solved by verified expert
4.0 Ratings (585 Votes)
AnswerConsider a subset M of RN is a    See Answer
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