Homology, Homotopy and Applications

Volume 17 (2015)

Number 2

Non-additive functors and Euler characteristics

Pages: 25 – 35

DOI: http://dx.doi.org/10.4310/HHA.2015.v17.n2.a3

Authors

Niels uit de Bos (Fakultät für Mathematik, Universität Duisburg-Essen, Germany)

Lenny Taelman (Korteweg-de Vries Instituut, Universiteit van Amsterdam, Netherlands)

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.

Keywords

Grothendieck group, non-additive functor

2010 Mathematics Subject Classification

13D15, 18F25, 19A99

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