Timeline for Homogeneous polynomial map inducing diffeomorphism of $\mathbb{R}^3\setminus\{0\}$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 24, 2020 at 1:02 | history | edited | Noam D. Elkies | CC BY-SA 4.0 |
correct transparent typo: third coordinate is p_3, not p_2
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| Feb 23, 2020 at 17:04 | review | Close votes | |||
| Feb 26, 2020 at 6:39 | |||||
| Feb 23, 2020 at 14:44 | answer | added | Hengy | timeline score: 14 | |
| Feb 23, 2020 at 9:42 | comment | added | YCor | Thanks, you're right... sorry! I'm leaving it for other users... | |
| Feb 23, 2020 at 9:41 | comment | added | Lira | @YCor. This is not a diffeomorphism of $\mathbb{R}^3\setminus\{0\}$ onto itself. Its Jacobian is $3^3x_1^2 x_2^2 x_3^2=0$ not only on $(0,0,0)$. | |
| Feb 23, 2020 at 9:30 | comment | added | YCor | $f(x)=(x_1^3,x_2^3,x_3^3)$ is counterexample. | |
| Feb 23, 2020 at 9:29 | history | edited | YCor | CC BY-SA 4.0 |
clarified, fixed language
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| Feb 23, 2020 at 8:49 | history | asked | Lira | CC BY-SA 4.0 |