Limits via relations
K-Theory and Homology
2024-05-07 v1 Algebraic Topology
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 appears as a part of description of these operations applied to symmetric powers.
Cite
@article{arxiv.2405.03175,
title = {Limits via relations},
author = {Sergei O. Ivanov and Roman Mikhailov and Fedor Pavutnitskiy},
journal= {arXiv preprint arXiv:2405.03175},
year = {2024}
}