Timeline for Detecting homotopy nontriviality of an element in a torsion homotopy group
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 15, 2013 at 9:14 | vote | accept | David Roberts♦ | ||
| Apr 13, 2013 at 9:13 | comment | added | Fernando Muro | That's good, David. If charts are hemispheres you can look at how it is defined on the intersection and desuspend it. | |
| Apr 13, 2013 at 7:59 | comment | added | David Roberts♦ | It is written down using charts and rational functions of coordinates. | |
| Apr 13, 2013 at 7:36 | comment | added | Fernando Muro | What does 'a map constructed geometrically' mean? Are not all of them constructed geometrically? I think it is unlikely that you get a completely satisfactory answer, unless you say what the map is. | |
| Apr 13, 2013 at 3:18 | comment | added | Angelo | Sorry, I misread your post, I thought you were saying that you map was defined as the suspension of the Hopf map. | |
| Apr 13, 2013 at 3:02 | comment | added | David Roberts♦ | @Angelo, I know that part, but my map is defined without reference to suspension or the Hopf map, so I need to know if what I have is homotopic to $\eta_3$. | |
| Apr 13, 2013 at 2:38 | answer | added | Allen Hatcher | timeline score: 22 | |
| Apr 13, 2013 at 2:12 | comment | added | Angelo | I am no topologist, but I think that it is standard that the Freudenthal suspension map $\pi_3(S^2) \to \pi_4(S^3)$ is surjective. Since the Hopf map generates $\pi_3(S^2)$, its suspension generates $\pi_4(S^3)$. | |
| Apr 13, 2013 at 1:51 | comment | added | David Roberts♦ | Incidentally, this is my 100th question. :-) | |
| Apr 13, 2013 at 1:48 | history | asked | David Roberts♦ | CC BY-SA 3.0 |