Research output: Contribution to journal › Article › peer-review
LIMITS VIA RELATIONS. / Ivanov, S.O.; Mikhailov, R.; Pavutnitskiy, F.
In: Homology, Homotopy and Applications, Vol. 28, No. 1, 2026, p. 197-213.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - LIMITS VIA RELATIONS
AU - Ivanov, S.O.
AU - Mikhailov, R.
AU - Pavutnitskiy, F.
N1 - Export Date: 30 March 2026; Cited By: 0
PY - 2026
Y1 - 2026
N2 - 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. Copyright © 2026, Sergei O. Ivanov, Roman Mikhailov and Fedor Pavutnitskiy. Permission to copy for private use granted.
AB - 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. Copyright © 2026, Sergei O. Ivanov, Roman Mikhailov and Fedor Pavutnitskiy. Permission to copy for private use granted.
KW - derived functor
KW - higher limit
KW - homological algebra
UR - https://www.mendeley.com/catalogue/6ae1ab20-23d7-3122-965e-b81ada6dd9ab/
U2 - 10.4310/hha.2026.v28.n1.a10
DO - 10.4310/hha.2026.v28.n1.a10
M3 - статья
VL - 28
SP - 197
EP - 213
JO - Homology, Homotopy and Applications
JF - Homology, Homotopy and Applications
SN - 1532-0073
IS - 1
ER -
ID: 151303698