Limits via relations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929336184995840 |
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| author | Ivanov, Sergei O. Mikhailov, Roman Pavutnitskiy, Fedor |
| author_facet | Ivanov, Sergei O. Mikhailov, Roman Pavutnitskiy, Fedor |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03175 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Limits via relations Ivanov, Sergei O. Mikhailov, Roman Pavutnitskiy, Fedor K-Theory and Homology Algebraic Topology 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. |
| title | Limits via relations |
| topic | K-Theory and Homology Algebraic Topology |
| url | https://arxiv.org/abs/2405.03175 |