Limits via relations
Abstract
In this paper, we study operations on functors in the category of abelian groups simplar to the derivation in the sense of Dold-Puppe. They are defined as derived limits of a functor applied to the relation subgroup over a category of free presentations of the group. The integral homology of the Eilenberg-Maclane space $K(\mathbb Z,3)$ appears as a part of description of these operations applied to symmetric powers.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Geometric and Algebraic Topology
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Homology Homotopy and Applications
- Volume
- 28
- Issue
- 1
- Pages
- 197–213
- Publication date
- 1 January 2026
- Language
- EN