Timeline for Solving polynomial equations in spectra?
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 21, 2021 at 21:44 | vote | accept | Tim Campion | ||
| Jan 21, 2021 at 21:43 | answer | added | Tim Campion | timeline score: 4 | |
| Jan 21, 2021 at 5:31 | history | became hot network question | |||
| Jan 21, 2021 at 4:28 | comment | added | Jonathan Beardsley | The same statement holds for any spectrum $E$ such that $\langle E\rangle < \langle H\mathbb{F}_p\rangle$ (these are the Bousfield classes) I believe. So you have a whole slew of spectra that satisfy the equation $x^2=0$, basically by taking the Brown-Comenetz dual of any connective spectrum with finitely generated homotopy groups. | |
| Jan 21, 2021 at 4:26 | comment | added | Jonathan Beardsley | Doesn't the Brown-Comenetz dual of the sphere, $I$, have the property that $I\wedge I\simeq 0$? So I guess it's integral? | |
| Jan 20, 2021 at 22:12 | answer | added | Nicholas Kuhn | timeline score: 17 | |
| Jan 20, 2021 at 21:54 | comment | added | Tim Campion | No worries. I think that ultimately varying the subring would be an interesting thing to do. | |
| Jan 20, 2021 at 21:53 | comment | added | Fernando Muro | Sorry, I missed that. | |
| Jan 20, 2021 at 21:53 | comment | added | Tim Campion | @FernandoMuro over $\mathbb Z[\Sigma,\Sigma^{-1}]$. I'm sure there are other reasonable choices, but this seems like the "minimal reasonable one" | |
| Jan 20, 2021 at 21:52 | comment | added | Fernando Muro | Integral over what subring? | |
| Jan 20, 2021 at 21:29 | history | asked | Tim Campion | CC BY-SA 4.0 |