Monday, February 08, 2010

Feb 3,5,8

Obviously I'm not keeping up the blog too well; the notes are more reliably up-to-date.
Anyway:

Derived functors. Injective resolutions. Acyclic objects for a functor.
Theorem: a resolution by acyclic objects is good enough for computing derived functors.

The category of sheaves has enough injectives. Flasque sheaves. Injective sheaves are flasque, flasque are acyclic.