Timeline for Verdier duality via Brown representability?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 9, 2010 at 10:01 | vote | accept | Jan Weidner | ||
| Feb 17, 2010 at 20:25 | comment | added | Greg Stevenson | Also, you're welcome :) Another thing to add is that compactness may not be enough in general. There are certain smooth compact complex surfaces for which the finite version of Brown representability fails, although again this is not for the category of sheaves that you want to consider. So at least it isn't clear to me what to expect. | |
| Feb 17, 2010 at 20:19 | comment | added | Greg Stevenson | Yes - it also considers the derived category of all sheaves of abelian groups. As I said in the comment I am not sure if it is compactly generated or not at the moment. | |
| Feb 17, 2010 at 12:21 | comment | added | Jan Weidner | Thank you! I would still be interested, if D(M) is compactly generated for compact M. The paper you mentioned "On The Derived Category of Sheaves on a Manifold" tells us, that D(M) is not compactly gererated for non compact M. However it says nothing about compact M. | |
| Feb 17, 2010 at 11:36 | history | edited | Greg Stevenson | CC BY-SA 2.5 |
deleted 1 characters in body
|
| Feb 17, 2010 at 11:13 | history | answered | Greg Stevenson | CC BY-SA 2.5 |