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+proof

edited Nov 24, 2020 at 0:22

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There is no path isometry $\mathbb R^2\to\mathbb R$ (search for length-preserving map in my collection);
There is no path isometry $(\mathbb R^2,\ell_p)\to\mathbb R^n$ for $p\not=2$.

answered Sep 15, 2011 at 4:33

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