Timeline for localization at a homology theory and the Adams spectral sequence
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 21, 2011 at 18:08 | comment | added | Tilman | No - a nonlocal space may well have a local suspension spectrum. I can't think of a concrete example right now, but an $H\mathbb{Z}$-local space has to have a nilpotent fundamental group, which is something you can't see in the suspension spectrum. The other direction is more obviously false: $S^0$ (two points) is local for any theory, while the sphere spectrum isn't. For the different kinds of convergence questions, I'd like to point you to the excellent paper "conditionally convergent spectral sequences" by Mike Boardman. | |
| Jan 21, 2011 at 7:41 | vote | accept | Aaron Mazel-Gee | ||
| Jan 21, 2011 at 7:41 | comment | added | Aaron Mazel-Gee | Thanks a lot, this is very helpful. Two questions. A space is $E$-local iff its suspension spectrum is, right? Also, what do these terms strong/weak/conditional convergence mean? | |
| Jan 19, 2011 at 15:05 | comment | added | Tilman | I meant infinite $X$ (fixed). Infinitely many cells. | |
| Jan 19, 2011 at 15:04 | history | edited | Tilman | CC BY-SA 2.5 |
edited body
|
| Jan 19, 2011 at 13:43 | comment | added | Sean Tilson | In your last sentence, what is meant by infinity $X$? | |
| Jan 19, 2011 at 13:11 | history | edited | Tyler Lawson | CC BY-SA 2.5 |
backticks to the rescure
|
| Jan 19, 2011 at 10:20 | history | answered | Tilman | CC BY-SA 2.5 |