Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598063 | Journal of Pure and Applied Algebra | 2008 | 18 Pages |
Abstract
For a functor from the category of finite sets to abelian groups, Robinson constructed a bicomplex in [A. Robinson, Gamma homology, Lie representations and Eâ multiplications, Invent. Math. 152 (2) (2003) 331-348] which computes the stable derived invariants of the functor as defined by Dold-Puppe in [A. Dold, D. Puppe, Homologie nicht-additiver Funktoren. Anwendungen., Ann. Inst. Fourier (Grenoble) 11 (1961) 201-312]. We identify a subcomplex of Robinson's bicomplex which is analogous to a normalization and also computes these invariants. We show that this new bicomplex arises from a natural filtration of the functor obtained by taking left Kan approximations on subcategories of bounded cardinality.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Michele Intermont, Brenda Johnson, Randy McCarthy,