通过关系限制

arXiv - MATH - K-Theory and Homology Pub Date : 2024-05-06 DOI:arxiv-2405.03175

Sergei O. Ivanov, Roman Mikhailov, Fedor Pavutnitskiy

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引用次数: 0

摘要

在本文中，我们研究了无穷群范畴中的函子操作，这些操作与多尔-普佩意义上的导数简单相近。它们被定义为应用于关系子群的函数在该群的自由呈现范畴上的派生极限。艾伦伯格-麦克莱恩空间 $K(\mathbb Z,3)$ 的积分同调是描述这些应用于对称幂的运算的一部分。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Limits via relations

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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arXiv - MATH - K-Theory and Homology

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