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