Non-additive functors and Euler characteristics
K-Theory and Homology
2016-04-06 v4 Commutative Algebra
Representation Theory
Abstract
We show under suitable finiteness conditions that a functor between abelian categories induces a (not necessarily additive) map between their Grothendieck groups. This is related to the derived functors of Dold and Puppe, and generalizes a theorem of Dold.
Cite
@article{arxiv.1410.6908,
title = {Non-additive functors and Euler characteristics},
author = {Niels uit de Bos and Lenny Taelman},
journal= {arXiv preprint arXiv:1410.6908},
year = {2016}
}
Comments
(v2: added reference to Dold and example of derived exterior powers of finite abelian groups, v3: expanded examples, minor corrections, improved exposition)