We describe a criterion for a natural Euler characteristic that takes values in a relative algebraic K0-group to be additive in distinguished triangles. As preliminary steps we prove several results about determinant functors, in particular concerning the comparison of the determinant of a complex to the determinant of its cohomology.
Homology, Homotopy and Applications, Vol. 7 (2005), No. 3, pp.11-36.
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