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Topic: recognizing smooth homeomorphism of euclidean spaces
Replies: 0

 Rodolfo Conde Posts: 16 Registered: 3/24/10
recognizing smooth homeomorphism of euclidean spaces
Posted: Mar 10, 2011 3:55 PM

Hi,

If we have a homeomorphism h: R^n \to R^n from n-dimensional
euclidean space to itself, is there any way of telling if h is smooth or not
?? Or is there any way to show (at least) if h is a C^1 function or not ??

In particullar, it would ne nice if there is some way of telling
if h is smooth (or just C^1) by using convergence of sequences in R^n.