On the Mac Lane $Q$-Construction for Exact $\infty$-Categories
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912206755463168 |
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| author | Aldrovandi, Ettore Karimi, Arash |
| author_facet | Aldrovandi, Ettore Karimi, Arash |
| contents | We extend McCarthy's stabilization construction to exact $\infty$-categories. This is achieved by constructing, for any functor from exact $\infty$-categories to a fixed stable $\infty$-category $\mathcal{A}$, a coherent chain complex in $\mathcal{A}$ that is an immediate generalization of Mac Lane's cubical $Q$-complex computing the stable homology of abelian groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16259 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Mac Lane $Q$-Construction for Exact $\infty$-Categories Aldrovandi, Ettore Karimi, Arash Algebraic Topology Category Theory K-Theory and Homology We extend McCarthy's stabilization construction to exact $\infty$-categories. This is achieved by constructing, for any functor from exact $\infty$-categories to a fixed stable $\infty$-category $\mathcal{A}$, a coherent chain complex in $\mathcal{A}$ that is an immediate generalization of Mac Lane's cubical $Q$-complex computing the stable homology of abelian groups. |
| title | On the Mac Lane $Q$-Construction for Exact $\infty$-Categories |
| topic | Algebraic Topology Category Theory K-Theory and Homology |
| url | https://arxiv.org/abs/2501.16259 |