Thursday, 8 August 2013

Show that the set M is not an Embeded submanifold

Show that the set M is not an Embeded submanifold

How can I prove that $M=\{(x,y)\in \mathbb{R}^2\ ; y=|x|\}$ is not an
embedded smooth submanifold of $\mathbb{R}^2$?

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