Timeline for Mapping a loop space to quaternionic projective space
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 12, 2020 at 18:52 | comment | added | Gustavo Granja | Yes, should be $S^4$. | |
| May 12, 2020 at 15:42 | comment | added | skd | Yep! Edited my answer. (Also, I think you meant to write S^4 where you wrote S^5.) | |
| May 12, 2020 at 15:42 | history | edited | skd | CC BY-SA 4.0 |
added 573 characters in body
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| May 12, 2020 at 12:58 | comment | added | Gustavo Granja | More generally, localized at an odd prime $p$, $\mathbb{H}P^{\frac{p-1}{2}}$ is equivalent to the $(p-1)/2$-th stage of the James construction $J_{\frac{p-1}{2}} S^5$ as there are no obstructions to extending the identity on the bottom cell. This map can't be extended to $J^{\frac{p+1}{2}} S^5$ because $P^1$ acts non-trivially on the generator of $H^4(\mathbb{H}P^\infty;\mathbb Z/p)$. | |
| May 12, 2020 at 4:27 | vote | accept | skd | ||
| May 12, 2020 at 4:26 | history | answered | skd | CC BY-SA 4.0 |