Additivity of Euler characteristics in relative algebraic $K$-groups

Breuning, Manuel; Burns, David

Homology Homotopy Appl., Tome 7 (2005) no. 3, p. 11-36 / Harvested from Project Euclid

Résumé

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.

Publié le : 2005-05-14
Classification: 18E10, 18E30, 18D10, 16E20

@article{1139839288,
     author = {Breuning, Manuel and Burns, David},
     title = {Additivity of Euler characteristics in relative algebraic $K$-groups},
     journal = {Homology Homotopy Appl.},
     volume = {7},
     number = {3},
     year = {2005},
     pages = { 11-36},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1139839288}
}

Breuning, Manuel; Burns, David. Additivity of Euler characteristics in relative algebraic $K$-groups. Homology Homotopy Appl., Tome 7 (2005) no. 3, pp.  11-36. http://gdmltest.u-ga.fr/item/1139839288/