Geodesic
Additivity of Euler characteristics in relative algebraic $K$-groups
Homology, homotopy, and applications, Tome 7 (2005) no. 3, pp. 11-36.

Voir la notice de l'article provenant de la source International Press of Boston

We describe a criterion for a natural Euler characteristic that takes values in a relative algebraic $K_0$-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.
DOI : 10.4310/HHA.2005.v7.n3.a2
Classification : 16E20, 18D10, 18E10, 18E30
Keywords: determinant functors, Euler characteristics, relative algebraic $K$-groups 
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     title = {Additivity of {Euler} characteristics in relative algebraic $K$-groups},
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     pages = {11--36},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2005.v7.n3.a2/}
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Manuel Breuning; David Burns. Additivity of Euler characteristics in relative algebraic $K$-groups. Homology, homotopy, and applications, Tome 7 (2005) no. 3, pp. 11-36. doi : 10.4310/HHA.2005.v7.n3.a2. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2005.v7.n3.a2/

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