10. Homological Algebra

Certain results in homological algebra regarding spectral sequences have been repeatedly used in various contexts. The usual reference has been to unpublished work of Deligne for a proof. The general applicability of these results has been a matter of some interest due to the interest in “motives” (see below).

The author has generalised and clarified the existence and properties of the constructions used; roughly speaking this is a theory of spectral sequences of spectral sequences.