A Homology Theory for Small Categories
The notion of derived functors is well-established as being a powerful and profound tool in diverse areas of mathematics. The theme of Cartan-Eilenberg  is that almost all algebraic homology theories are examples thereof; and Grothendieck  displays Cech cohomology of topological spaces as a further deep application.
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- Watts, C.: Homological algebra of categories I (to appear).Google Scholar