Timeline for Spectral sequence and HOM functor
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 22, 2014 at 17:25 | comment | added | user43326 | This is a second quadrant spectral sequence, so the convergence question gets rather tricky in general. I think Theorem 10.1 of Boardman's "preprint" on conditionally convergent spectral sequences hopf.math.purdue.edu/Boardman/ccspseq.pdf apply here. | |
| Oct 22, 2014 at 17:22 | comment | added | Mariano Suárez-Álvarez | Not really. If M has finite projective dimension, then convergence of the spectral sequence coming from the filtration by columns is immediate; the first oage, which you get by taking homology wrt the differential of Q is easy to get, because each P_i is projective, and the next one is just the complex you usebto compute the ext from P. | |
| Oct 22, 2014 at 17:19 | comment | added | Paul Broussous | @MarianoSuárez-Alvarez Do you have any reference ? | |
| Oct 22, 2014 at 17:09 | comment | added | Mariano Suárez-Álvarez | Provided it converges (for example, if M has finite projective dimension, but it may converge always), it converges to Ext_A(M,N) in two steps. | |
| Oct 22, 2014 at 16:35 | history | asked | Paul Broussous | CC BY-SA 3.0 |