K-theory of triangulated categories I(A) homological functors, by Amnon Neeman

This is the first instalment of a five-paper series. The first two instalments prove that any homological functor of abelian categories induces a map in higher K-theory. The first instalment is introductory. It explains how we define a K-theory for any triangulated category, sets up notation for dealing with it, and states the main theorems of the entire series.

This article appeared in the Asian Journal of Mathematics in June, 1997.

Amnon Neeman <amnon.neeman@anu.edu.au>