Timeline for Fibrations whose total spaces are more highly connected than their fibers
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 13, 2021 at 13:23 | history | edited | Jens Reinhold | CC BY-SA 4.0 |
Some minor edits
|
| Aug 11, 2021 at 20:18 | comment | added | Tyrone | @OscarRandal-Williams Right. In fact J. Lin has shown that any noncontractractible finite H-space with associative mod 2 homology ring has its first nonvanishing homotopy group in degree $1,3$ or $7$. (so replacing 'Lie group' with 'topological group' yields nothing). | |
| Aug 11, 2021 at 19:07 | comment | added | Oscar Randal-Williams | I see: because a simply-connected compact Lie group has $\pi_3$ nontrivial, right? | |
| Aug 11, 2021 at 18:59 | comment | added | Tyrone | ...Unless you take $j=0$, in which case you have the Hopf fibrations missing from the question. | |
| Aug 11, 2021 at 18:52 | comment | added | Tyrone | @OscarRandal-Williams you can't make that work with the $j\neq 1,3,7$ clause. | |
| Aug 11, 2021 at 18:36 | comment | added | Oscar Randal-Williams | Any Lie group $G$, and the universal principal $G$-bundle. | |
| Aug 11, 2021 at 15:50 | history | asked | Jens Reinhold | CC BY-SA 4.0 |