2014/10/31 by Niels uit de Bos, Lenny Taelman · 1 citation
Mathematics · #math.AC #math.KT #math.RT #msc:13D15 #msc:18F25 #msc:18G55 #msc:19A99
paper · pdf · doi:10.4310/hha.2015.v17.n2.a3
published as Homology, Homotopy and Applications. Volume 17 (2015), Number 2 · (v2: added reference to Dold and example of derived exterior powers of finite abelian groups, v3: expanded examples, minor corrections, improved exposition)
arxiv created 2015/04/20 · arxiv updated 2016/04/06
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.