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arXiv · 2405.03175

Limits via relations

Sergei O. Ivanov·Roman Mikhailov·Fedor Pavutnitskiy
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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.

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Sergei O. Ivanov, Roman Mikhailov, Fedor Pavutnitskiy. 2024-05-06. Limits via relations. https://arxiv.org/abs/2405.03175

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