Timeline for When is the quotient by an $n$-fold loop space an $m$-fold loop space?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 9, 2015 at 14:49 | comment | added | Jesper Grodal | @JonBeardsley, the space of cosets G/H is not the homotopy cofiber, so they do not coincide in that case. The homotopy cofiber just cones off the subspace H of G. | |
| Sep 9, 2015 at 13:30 | comment | added | Jonathan Beardsley | In other words, sometimes fibrations look like group quotients. | |
| Sep 9, 2015 at 13:21 | comment | added | Jonathan Beardsley | Hm, I'm sort of after when such things coincide. For instance, when one has an inclusion of Lie groups $H\to G$, and the space of cosets is also a Lie group. This seems to be not particularly uncommon. | |
| Sep 9, 2015 at 10:07 | history | answered | Jesper Grodal | CC BY-SA 3.0 |