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Dec 19, 2012 at 19:12 history edited Peter Michor CC BY-SA 3.0
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Dec 19, 2012 at 13:59 comment added user22882 What are the conditions on $p$ and $q$ in (4)?
Dec 19, 2012 at 12:39 comment added Philip van Reeuwijk Paul: The linked article seems to be about the \emph{possibility} of a smooth choice of a root of what is here called $f^2$. In your example, $|x|$ is a bad choice, $x$ is a good one.
Dec 19, 2012 at 11:48 comment added Paul Siegel Set $f(x) = |x|$. $f$ is not even once differentiable at $0$, but $f^2(x) = x^2$ is $C^\infty$. Am I missing something?
Dec 19, 2012 at 10:36 history answered Peter Michor CC BY-SA 3.0