Timeline for Associative Ring Spectra and Derived Completion
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 17, 2014 at 21:49 | comment | added | Jacob Lurie | Let I be the fiber of the map A -> B. Then the fiber of the map A -> Tot^n is the (n+1)st smash power of I over A. For these fibers to vanish in the limit, it suffices that they are getting more connected. Since A is connective, it suffices for I to be connected, which is immediate from your hypothesis. | |
| Oct 17, 2014 at 21:46 | vote | accept | Jonathan Beardsley | ||
| Oct 17, 2014 at 21:45 | comment | added | Jonathan Beardsley | Jacob have you (or anyone else) written down somewhere a proof that it's true under the conditions (on $\pi_0$ and $\pi_1$) that Carlsson gives? | |
| Oct 17, 2014 at 21:36 | comment | added | Jonathan Beardsley | Fair enough. I'll rephrase the question. | |
| Oct 17, 2014 at 21:33 | history | answered | Jacob Lurie | CC BY-SA 3.0 |