Timeline for Representation theory of higher homotopy groups
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 9, 2021 at 1:59 | vote | accept | Seewoo Lee | ||
| Jun 6, 2021 at 19:12 | history | became hot network question | |||
| Jun 6, 2021 at 17:50 | comment | added | user164898 | @Z.M The usual action of a higher homotopy group of a space on the higher homotopy groups of that same space is by the Whitehead product: en.wikipedia.org/wiki/Whitehead_product | |
| Jun 6, 2021 at 16:23 | answer | added | Dmitri Pavlov | timeline score: 13 | |
| Jun 6, 2021 at 13:16 | comment | added | Sasha | I think that a "more correct" thing would be to consider the whole homotopy type (it incorporates pi_1 but also pi_2 and so on). So you want a "homotopy group" to act on something. The clearest thing conceptually would be to think of local systems. Local system of what? Depending on the answer to that question, you suddenly might start to see the need for pi_2 etc. | |
| Jun 6, 2021 at 11:31 | comment | added | Z. M | There is a natural action of fundamental group on higher homotopy groups. I don't know how a higher homotopy group could naturally act on another higher homotopy group. | |
| Jun 6, 2021 at 11:11 | history | asked | Seewoo Lee | CC BY-SA 4.0 |