Timeline for Questions on J. F. Nash's answer about his errors in the proof of embedding theorem
Current License: CC BY-SA 3.0
2 events
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| Feb 10, 2020 at 13:45 | comment | added | Oleg Eroshkin | Small correction. The "excess dimension" is the difference of dimensions of the vector space and the manifold. Nash proved, that an $m$-dimensional manifold $M$ which can be topologically embedded in $\mathbb{R}^n$ with $n-m\geq2$, can be $C^1$ isometrically embedded in $\mathbf{R}^n$. Kuiper improved that to $n-m\geq1$. | |
| Jun 13, 2016 at 13:57 | history | answered | Igor Rivin | CC BY-SA 3.0 |