Timeline for Does $K(n)$ detect minimal $K(n)$-local cell structures?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 22, 2022 at 22:01 | comment | added | Tim Campion | I initially deleted this post as a duplicate, but I have referred back to the comments here so many times in the past year that I think I should undelete it and just leave it as CW in case anybody else finds the comments as useful as I have. | |
| Dec 22, 2022 at 22:00 | history | made wiki | Post Made Community Wiki by Tim Campion | ||
| Dec 22, 2022 at 22:00 | history | undeleted | Tim Campion | ||
| Dec 15, 2021 at 5:15 | history | deleted | Tim Campion | via Vote | |
| Dec 15, 2021 at 5:15 | comment | added | Tim Campion | oh wow I duplicated myself. | |
| Dec 15, 2021 at 4:40 | comment | added | Eric Peterson | Hovey–Strickland’s Y spectrum is again a problem for Question 2, even allowing for William’s modification, as it was a problem in this older question of yours: mathoverflow.net/questions/363652/… | |
| Dec 15, 2021 at 1:20 | comment | added | William Balderrama | A counterexample is given by the "upside-down question mark complex" (the cofiber of the extension of $\eta$ to a map $\Sigma S/(2) \rightarrow S$), whose $K(1)$-localization generates the exotic subgroup of the $K(1)$-local Picard group at $p=2$. I think the right question to ask is: if $dim_{K(n)_\ast} K(n)_\ast X = N$, can $L_{K(n)}X$ be built as an $N$-cell complex, where the cells are elements of the $K(n)$-local Picard group (i.e. have $1$-dimensional $K(n)$-homology)? | |
| Dec 13, 2021 at 16:08 | history | asked | Tim Campion | CC BY-SA 4.0 |