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Old 2013-05-24, 22:56   #8
ewmayer
2ω=0
 
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Sep 2002
Rep├║blica de California

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Quote:
Originally Posted by jinydu View Post
By definition of the boundary of a manifold, every point on the boundary has an open neighborhood that is diffeomorphic to R^{n-1} x [0,infinity), which of course I can shrink to R^{n-1} x [0,1).
(Thinking aloud here) Can you do said shrinking via a mapping which satisfies the same restrictions as the theta_i "basis functions" from the partition of unity theorem?
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