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Dec 14, 2023 at 11:58 comment added YangMills Just a small addendum to Willie's wonderful answer: in arxiv.org/abs/1606.02551, De Lellis rewrites Nash's original proof in modern language, and he explicitly gives the simple fix (in the spirit of Nash's arguments) to the issue pointed out by Solovay, see Corollary 3.1.2 on p.37 and its proof on p.63-64. Indeed, the dimension of the embedding space is increased compared to the closed manifold case.
Jun 16, 2016 at 3:37 vote accept trequartista
Jun 13, 2016 at 16:14 history edited Willie Wong CC BY-SA 3.0
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Jun 13, 2016 at 16:02 history edited Willie Wong CC BY-SA 3.0
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Jun 13, 2016 at 15:56 history answered Willie Wong CC BY-SA 3.0