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LIMITS VIA RELATIONS

delete2026-01-01
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PRE
AI
S
Sergei O. Ivanov *
R
Roman Mikhailov
F
Fedor Pavutnitskiy
DOI:10.4310/HHA.2026.v28.n1.a10delete
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Abstract

Abstract

En 中文
In this paper, we study operations on functors in the category of abelian groups similar 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(Z, 3) appears as a part of description of these operations applied to symmetric powers.
Keywords:
homological algebra
derived functor
higher limit

Journal

H
Homology Homotopy and Applications
IF:
0.5
Papers:
10
Citations:
0

Organization

S
saint petersburg state university
Scholars:
9.4K
Papers: 6.7K
Citations: 5
U
university of oxford
Scholars:
9.7W
Papers: 8.6W
Citations: 137