Timeline for Describe all differentiable functions on $\mathbb{S}^n \backslash S$ (S is the south pole) [closed]
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 4, 2014 at 6:52 | vote | accept | Michael Pinkard | ||
| S Jun 3, 2014 at 8:34 | history | unlocked | CommunityBot | ||
| S Jun 3, 2014 at 8:34 | history | locked | CommunityBot | ||
| S Jun 3, 2014 at 8:34 | history | closed |
Will Jagy Igor Belegradek Ryan Budney Deane Yang Stefan Kohl♦ |
Not suitable for this site | |
| Jun 3, 2014 at 0:49 | answer | added | Jaan | timeline score: 1 | |
| Jun 3, 2014 at 0:19 | comment | added | Ryan Budney | This looks like a simple change of coordinates argument if I'm understanding the question. | |
| Jun 2, 2014 at 23:48 | review | Close votes | |||
| Jun 3, 2014 at 8:34 | |||||
| Jun 2, 2014 at 23:47 | comment | added | David Roberts♦ | One obvious description is that the sphere S^n minus the south pole is diffeomorphic (by definition) to R^n, so ... but I guess this is not what you want. | |
| Jun 2, 2014 at 23:32 | comment | added | S. Carnahan♦ | By partition of unity, we may restrict to a small neighborhood of a meridian. Then you are claiming that any function on $\mathbb{R}^{n-1} \times \mathbb{R}$ is a "function of functions" of the form $(\vec{x}, y) \mapsto y f(\vec{x})$. You just need to make the term "function of functions" precise. | |
| Jun 2, 2014 at 22:22 | comment | added | Qfwfq | I don't understand the claim, as it is written now. | |
| Jun 2, 2014 at 22:17 | history | asked | Michael Pinkard | CC BY-SA 3.0 |